Factor x\left (3x5f\right) x (3x − 5f) View solution steps Solution Steps g ( x ) = 3 x ^ { 2 } 5 f ( x ) g ( x) = 3 x 2 − 5 f ( x) Factor out x Factor out x 1 What is (f−g)(x)?Set up the composite result function f (g(x)) f ( g ( x)) Evaluate f (g(x)) f ( g ( x)) by substituting in the value of g g into f f f ( x 9) = 9(x 9) f ( x 9) = 9 ( x 9) Cancel the common factor of 9 9 Tap for more steps Cancel the common factor f ( x 9) = 9 ( x 9) f ( x 9) = 9 ( x 9) Rewrite the expression
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If f(x)=2^x-1+3 and g(x)=5x-9 what is (f-g)(x)-Then, f(x)g(x) = 4x 2 4x 1 = 1 Thus deg( f ⋅ g ) = 0 which is not greater than the degrees of f and g (which each had degree 1) Since the norm function is not defined for the zero element of the ring, we consider the degree of the polynomial f ( x ) = 0 to also be undefined so that it follows the rules of a norm in a Euclidean domainFind (fg)(x), (fg)(x), (f*g)(x) and (f/g)(x) for each f(x) and g(x) 2 f(x)= 8x^2 g(x)=1/x^2 I'm having trouble understanding what i have to do, please help This question is from textbook Algebra2 Answer by jim_thompson5910() (Show Source)
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G(x)= x2 1 x (8) f(x) = 3x 4 (9) f( ) = 3( ) 4 (10) f(g(x)) = 3(g(x)) 4 (11) f(x2 1 x) = 3(x2 1 x) 4 (12) f(x 2 1 x) = 3x 3 x 4 (13) Thus, (f g)(x) = f(g(x)) = 3x2 3 x 4 Let's try one more composition but this time with 3 functions It'll be exactly the same but with one extra step Find (f g h)(x) given f, g, and hFind the domain of the composite function f of gMathf(x)=x/math Function is giving the absolute value of mathx/math whether mathx/math is positive or negative See the y axis of graph which is mathf(x)/math against mathx/math, as x axis It shows y axis values or mathf(x
(f g)(2) = 10, (h – g)(2) = –9, (f × h)(2) = –12, (h / g)(2) = –05 If you work symbolically first, and plug in the x value only at the end, you'll still get the same results Either way will workLearn how to solve f(g(x)) by replacing the x found in the outside function f(x) by g(x) Using a linear approximation, estimate f(21), given that f(2) = 5 and f'(x) = square root 3x1 2 Educator answers eNotescom will help you with any book or any question
The composite function f g (x) is read as "f of g of x " The function g (x) is called an inner function and the function f (x) is called an outer function Hence, we can also read f g (x) as "the function g is the inner function of the outer function f "Find f(g(x)) f(x)=x^29 , g(x)=3x, Set up the composite result function Evaluate by substituting in the value of into Simplify each term Tap for more steps Rewrite as Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive propertyF(x)=x 2 2x−6 g(x)=x 4 3 3 jbouyer
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Explanation First, find g( −1) by substituting −1 for every occurrence of x in g(x) g(x) = x2 − 7x − 9 becomes g(−1) = (−1)2 −(7 ⋅ −1) − 9 g(−1) = 1 − ( − 7) − 9 g(−1) = 1 7 − 9 g(−1) = −1 Now, find f (g( − 1)) by substituting g( −1) or −1 for every occurrence of x in f (x) f (x) = x −2Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!SPM Add Math Form 4 FunctionThis short video is going to guide you how to find the f(x) using the substitution method Hope you find this method helpfu
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F(x)=x 4 −x 2 9 g(x)=x 3 3x 2 12 2 What is (f⋅g)(x)?Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music
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Weekly Subscription $199 USD per week until cancelled Monthly Subscription $699 USD per month until cancelled Annual Subscription $2999 USD per year until cancelled 1 What is (f−g)(x)? In our example f takes the square of a number and adds 1 g doubles a number h subtracts 1 from a number So a verbal description of the composed f@g@h as a sequence of steps might be Subtract 1 Double Square Add 1 So in symbols we might describe this process thus x > x1 > 2(x1) > (2(x1))^2 > (2(x1))^21 So (f@g@h)(x) = f(g(h(x))) color(white)((f@g@h)(x)) = (2(x1))^21 color(white)((f@g@h)(x)) = 4(x^22x1)1 color(white)((f@g@h)(x)) = 4x^28x41 color(white)((f@g@h)(x)) = 4x^2
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When you find (f o g)(x), there are two things that must be satisfied x must be in the domain of g, which means x is a real number (pretty easy to do) g(x) must be in the domain of f, which means that 1x 2 ^2 ≥ 4 (when you try to solve this, you get the empty set); B (1/4x)^2 will widen the parabola C 4x^2 is too wide to be g(x) D (16x)^2 is too narrow to be g(x) A is the correct answer When graphed on desmos com / calculator it shows this is the correct answer I hope this helped!\displaystyle{x}\in\mathbb{R},{x}\ne{1},{2} Explanation \displaystyle{f{{\left({x}\right)}}}\ \text{ is defined for all values of x except values which
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Domain of f(x) = x/(x^21) Extended Keyboard;F(input) = 2(input)3 g(input) = (input) 2 Let's start (g º f)(x) = g(f(x)) First we apply f, then apply g to that result (g º f)(x) = (2x3) 2 What if we reverse the order of f and g?Completing the square, f(x)=\frac{3}{4}(\frac{1}{x}\frac{1}{2})^2, so x=2 is a global minimum, and there is no minimum, absolute or relative, for x\gt 1 Completing the square, f ( x ) = 4 3 ( x 1 2 1 ) 2 , so x = − 2 is a global minimum, and there is no minimum, absolute or relative, for x > − 1
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When you combine the two domains to see what they have in common, you find the intersection of everything and nothing isGraph f (x)= (x1)^29 f (x) = (x − 1)2 − 9 f ( x) = ( x 1) 2 9 Find the properties of the given parabola Tap for more steps Use the vertex form, y = a ( x − h) 2 k y = a ( x h) 2 k, to determine the values of a a, h h, and k k a = 1 a = 1 h = 1 h = 1 k = − 9 k = 9 Since the value of a a is positive, the parabolaYou can put this solution on YOUR website!
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You can put this solution on YOUR website!F(x)=x^4−x^29 g(x)=x^33x^212 (f−g)(x)= 2 What is (f⋅g)(x)? From the given graph it is clear that the vertex of f(x) and g(x) are same, ie,(0,0) But the graph of g(x) compressed vertically If k>1, then graph of g(x) stretched vertically and if k
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The slope of a line like 2x is 2, or 3x is 3 etc;4x 2x x x 2 4/7 2/7x 14x 4/7 3 7 9x 15 12x 4 24x 38x x Norman bought 116 feet of fencing to put around his backyard The backyard is a perfect squareWhen we reverse the order the result is rarely the same
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Answer to If f(x) = x^2 and g(x) = x 1, what is f(g(x))?The Derivative tells us the slope of a function at any point There are rules we can follow to find many derivatives For example The slope of a constant value (like 3) is always 0;R where g(x)=x3 The function g has the set R for its range This equals the target of g, so g is onto
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G(x) → "g of x" → "operation(s), g, applied to a given quantity or value , x" "g(x) = x1" tells you to simply subtract 1 from whatever xvalue is given g(5)= 5–1=4 g(6)= 6–1=5 g(9)= 9–1=8 g(x)=x1 f(x) → "f of x" → "operations, f, applied to a g We substitute g(x) = x2 2x − 8 on the right side but we write (f (x)) everywhere that there is an x (gof)(x) = (f (x))2 2(f (x)) − 8 Substitute x − 1 for f (x) (gof)(x) = (x − 1)2 2(x − 1) − 8 Expand the square (gof)(x) = x2 − 2x 1 2(x −1) − 8 Use the distributive property (gof)(x) = x2 − 2x 1 2x −2 −8In this video we learn about function composition Composite functions are combinations of more than one function In this video we learn about f(g(x)) and g
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Domain of f(x) = x/(x^21) Natural Language;Let f(x) = 9x^2, g(x) = 3x Find (fg) (x) f(x) = 9x^2 (1) g(x) = 3x (2) (1) and (2) being polynomials in x(f º g)(x) = f(g(x)) First we apply g, then apply f to that result (f º g)(x) = 2x 2 3 We get a different result!
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Eq1) or equivalently if the following equation holds for all such x f (x) − f (− x) = 0 {\displaystyle f(x)f(x)=0} Geometrically, the graph of an even function is symmetric with respect to the y axis, meaning that its graph remains unchanged after reflection about the y axis Examples of even functions are The absolute value x ↦ x , {\displaystyle x\mapsto x,} x ↦ x 2Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, musicAnd so on Here are useful rules to help you work out the derivatives of many functions (with examples below)Note the little mark ' means derivative of, and
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R where f(x)=x2 Using techniques learned in the chapter "Intro to Graphs", we can see that the range of f is 0,1) The target of f is R,and0,1) 6= R so f is not onto Below is the graph of g R !I will plug the formula for g(x) into every instance of "x" in the formula for f (x) Now I will plug the formula for f (x) into every instance of "x" in the formula for g(x) Both ways, I ended up with just "x", so f (x) and g(x) are inverses of each otherDetermine algebraically whether f (x) = 3x – 2 and g(x) = (1 / 3)x 2 are inverses of each other 1 Answer AJ Speller (f ∘ g)(x) = f (g(x)) = f (x 2) = (x 2)2 Click on the link below to see another example
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g(x)= x^(3 ) 3x^212 We have to find (fg)(x)= ?Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more f(x)=19x2→ Switch the f(x) with a y y=19x2→ Switch the places of the x and the y variables x=19y2→ Solve for y x−2=19y y=9x−18 The inverse is f−1(x)=9x−18
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F (g (2)), g (x)=2x1, f (x)=x^2 \square!F(x)=x4−9 g(x)=x39 (f⋅g)(x)= Thanks so much!Find the Properties f (x)=x^28x9 f (x) = x2 − 8x − 9 f ( x) = x 2 8 x 9 Rewrite the equation in vertex form Tap for more steps Complete the square for x 2 − 8 x − 9 x 2 8 x 9 Tap for more steps Use the form a x 2 b x c a x 2 b x c, to find the values of a a, b b, and c c a = 1, b = − 8, c = − 9 a = 1, b
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The operations on functions are as easy as the operations on numbers or polynomials We have to subtract the functions to find the above mentioned operation =(fg)(x)=f(x)g(x) (fg)(x)=x^4 x^29x^(3 ) 3x^212 The minus will change the signs of function g = x^4 x^29 x^(3 ) 3x^212If f(x) = 3x 9 and g(x) = x^2, what is (g บ f)(5)?gf(x) = g3x9 = (3x9)^2 = 9x^2 54x 81Cheers,It is given g(x1)=x^21 Put x1 at the place of x, g{(x1)1}=(x1)^21 => g(x11)=x^22x11^21 {since (ab)^2= a^22abb^2} => g(x)=x^22x11 => g(x)=x^22x2
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f(x) = (2 x^(1/2)) and g(x) = x^2 9 so, g(x) f(x) = (x^2 9)/(2 x^(1/2)) Now, the denominator cannot be zero ie 2 x^(1/2)!= 0 so, x^(1/2)!= 2 Hence, x!= 4 Therefore, the domain is all values except x = 4 )>Answer is g f (x) = 3 2 x 1 x Explanation f (x) = 1 x g (x) = x 2 1 3 x 2 Let f(x) = \\frac{x^2}{x^2 1}find the largest integer n so that f(2) \\cdot f(3) \\cdot f(4) \\cdots f(n1) \\cdot f(n) < 1
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