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)
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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