10. Let f(x) = be a Generating function and g(x) : 1+2x be another Generating function. 1-2x %3D Then find the product of the two generating function f(x) x g(x)?

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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Q: 4 -2 f(x) = -5x* + 2 + 3x %3D differentiate each function with respect to x

A: Differentiate with respect to x.

Q: The linearization of f (x) = x² based at 3 is L (x) = [ Select ] [ Select ] (x - [ Select ] Done […

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Q: f(x) = (x + 3)(x – 1)².

A: Given function Find the critical values for the given function. To find critical values we need to…

Q: find h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

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Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

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Q: Find the indicated outputs for f(x) = 2x² - - 2x.

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Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

A: Here, we have given some functions and we have to find composite function and domain of these…

Q: Find functions f and g so that fo g=H. H(x)=√x² +12 Choose the correct pair of functions. O A. f(x)…

A: We have given a composite function  f○g=H Hx=x2+12 Checking pairs (f○g)x=fgx Afx=x , gx=x2+12…

Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: f(x) 17. Divide the functions: g(x) where f(x) = 5x-4 and g(x) x +4 %3D

A: Authoring guidelines:…

Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where…

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Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

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Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: Let f (x) = /2x +1 and g (x) = /2x – 1. Find h (x) =f (x) × g (x). %3D | a) h (x) = V4x² – 1 %3D - O…

A: Given f(x) = 2x+1g(x) = 2x-1

Q: 2. (a) (5 points) Let f(x) = Vr +1 and g(x) = x² + 2x. Find (f o g)(1) and (go f)(1). %3D %3D 1+ x…

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Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :