Find functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x)). (Use non-trivial functions for f(x) and g(x).) h(x) (x + 3)2 {f{x), g(x)} = {

Q: 1. Let glø) = x² - 5x +2.

A: Given that: g(x)=x2-5x+2

Q: f(x)=x-1; g(x)=2x2 Find 1. (f+g)(x) 2. (f-g)(x)

A: Given, f(x) = x - 1 g(x) = 2x2

Q: Let h(x) = f(x)g(x). If f(x) = -3x²+2x 3 and g(x) 3x" + 4x + 3, what is h' (1)? Do not include "h'…

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Q: 4. f (x) = 5 - x and (gof) (x) = x2-10x + 30 since the function g(x) is the following- which is…

A: The solution is:

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: f(x) = x - 6x + 9x – 6 For this function, on [-1,5] interval, the absolute maximum is 10 and the…

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Q: Find the absolute maximum and minimum values of the function f(x)=7x^2/3 ;[-1,1]

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Q: Analyze the graph of f (x) = ln(x2 + 2x + 3).

A: The given function is f(x)=lnx2+2x+3

Q: Find the open intervals on which the function is increasing or decreasing.     g(x) = x2 − 2x − 8

A:

Q: Find the maximum value of the function f defined by f(x)= 5+3x- 2x^2.

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Q: Find the intercepts of the function. f(x) = (x + 4)(9x2 − 1)

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Q: Consider the function f(x) = 2x3 + 15x2 - 144x + 9,       -8 </= x </= 4. Find the absolute minimum…

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Q: the absolute or minimum if it exists.

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Q: x² -9 f (x) = is 0<x<5 and x=33 at the point 3 x² – 2x – 3° - 1.5

A:

Q: Let h(x)=f(x)g(x). If f(x)=−3x2−4x+2 and g(x)=−x2+3x+2, what is h′(−1)? Do not include "h′(−1)=" in…

A: Calculation of h (x):Using the functions f (x) and g (x), the function h (x) can be obtained as…

Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

Q: If f(x)= x2 + 14x + 24 and g(x)= x + 2, then what is the value of (f/g)(-2)? Show Work

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Q: f(x)=−4x+4​,g(x)=−5x2+5x−4​,andh(x)=−3x2+8​, find h(−1​).

A:

Q: x-1' Find the value of the constant A for which the follo

A: Find the value of A

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is:  (i) increasing on an interval (a, b) if f'(x)&gt;0 for all elements of a, b.…

Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

A:

Q: Find the absolute maximum and absolute minimum values of the function f(x) = x³ – 12x² – 27x + 10

A: to find the critical points take derivative=0

Q: B. Find the domain of 1. h(x) = (x – 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1 and g(x) : x + 3 -1 3. If…

A: Domain is the set of all possible values of x (independent variable) for the function.

Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

A:

Q: x - 7 If f(x) = Vx – 3 and g(x) find the domain x - 4 of

A: Given: f(x)=x-3 and g(x)=x-7x-4 To find: Domain of fgx.

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Evalvate f(f(f(2) X+5 for x5

A:

Q: 1. f(x) = x², g(x) = 6-x 2. f(x) = x+ + 2x², 3. f(x) = 3+√√2x_g(x)=x-1 g(x) = 6x²

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: Consider the function G defined by G(x)= 4x^2-5 Solve G(x)=0

A: Given a function G(x)=4x2-5 To solve G(x)=0

Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)? Do not include…

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Q: The function f (x) = 5 + 6x + 96x 1 has one local minimum and one local maximum. - This function has…

A:

Q: Describe the end behavior for this fucntion F(x)=x^4-2x^2+3

A: The given function f(x)=x4-2x2+3

Q: 5. f '(x) = 7x + + – x³ find f(x) if f(0) = 7 -

A:

Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

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Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: f (x) = 2x² + 3x – 4, g(x) = 2x – 1. Find (g •f)(x) -

A: Given,          fx=2x2+3x-4          gx=2x-1

Q: find g'(3) given that f(3) = -2, f'(3) =4, and g(x) =2x+1/f(x)

A:

Q: 2 Given f(x) = x“ - 2 and g(x) 4x + 1, find a. f g b. g(f(x))

A: We will find f .g and g(f(x)) in the following step.

Q: x-5 If f (x) = find f (4) x2 -10x+25

A: Given, f(x)= (x-5)/(x²-10x+25) x=4

Q: The function f(x) – 2x° + 27x² – 84x + 4 has one local minimum and one local maximum. || This…

A: Maxima and Minima Question

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = -lxl.

A: The given function is fx=x.

Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) f+g)(x) = 2) -h)(x) =

A:

Q: (2) for f(x)=x^2-4x+1

A: From the given data:

Q: Using the function f(x) defined here, find f(-20). f(x)={3x+57x−1x≤0x>0f

A: A piecewise function is a combination of different subfunctions. It is divided into different…

Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2…

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Q: Find the value of f(x)= |3x| -2 at x =5

A: Given function is fx=3x-2. We have to find the value of fx at x=5. Substitute x=5 in fx=3x-2 and…

Q: f(x)=x^2-3x+9 g(x)=3x^3+2x^2-4x-9 find the (f-g)(x)

A: