3 Express the given function h as a composition of two functions f and g so that h(x) =(fo g)(x), where one of the functions is x-9 h(x) = x3 -9 f(x)=(Simplify your answer) Enter your answer in the ansver box and then clickCheck Answer 1 part remaining P Pearson ndows

Q: 3 x-3 Let f-1(x) = g(x) = x3 – 5 , k-'(10) + 7 = 10 and h(x) = 1 then 8+2x x² +9 find: a. (f +…

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Q: Find f(x) and g(x) such that h(x) = (fo g)(x). X -9 h(x) = X +9 Choose the correct answer below. O…

A: In f(x), we have to put g(x) in place of x to obtain fog(x).

Q: 2 O Let f (x) = generating function. Then find the generating function for f(x) +g(x) ? || be the…

A: Given,          fx=21-5x be the generating function and gx=51+3x be the generating function.

Q: 2. Let f(x) = nx² - 2x + 5 and g(x) = 6x² - 5x + m. The functions are combined to form the new…

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Q: 7. Consider the function f(x) = -x²-4x-7 x+3 a) Find the intervals where f is increasing or…

A: Hi. Since you have asked multiple subparts, so we will solve only first two subparts. If you want…

Q: 1. Refer to the given functions f, g, and h to evaluate the functions for the given values of x.…

A: a. As (f-g)(-1) = f(-1) - g(-1) So (f-g)(-1) = [(-1)2 - 3(-1) + 1] - 8 - (-1)                = 1 + 3…

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Q: 1 in the form fo g. If g(x) = (x+6), find the function f(x). Express the function h(x) I + 6 Your…

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Q: 17) Find functions f and g so that f •g = H x - 2 H(x) = 3

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Q: 6. Given the function f (x) = x² + x - 3, find f (x + 1) 7. h(x) = 2×+ 1, find h(3) 1 8. Given f (x)…

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Q: 5. Given f(x) 2g(x) - h(g(x)), h(1) = 3, h'(1) = -3, g(1) = 1 and g'(1) = -5 find f'(1). h(x)

A: Given, fx=2gxhx-hgxh1=3, h'1=-3, g1=1 and g'1=-5

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A: We have to find f(x).

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A: As per our guidelines, we are allowed to answer only one question per query. Providing solution for…

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Q: 1 The function h(x) can be expressed in the form f(g(x)), where g(x) = (x + 3), and f(x) is x + 3…

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Q: 2. Let f(x) = 4x? - nx + 4 and g(x) = 4x² - nx + m. The functions are combined to form the new…

A: Solution:fx=4x2-nx+4gx=4x2-nx+mhx=fxgxponits -2,3 and 2,5satisfy the new function hx

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A: The slope of an increasing function is always greater than 0. i.e, f'(x)>0

Q: 2. Let f(x) and g(x) = 5 – x². 1- x (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c) Find…

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Q: 8. When the value of k is greater than 1, the function g(x) = (kx)² has what relationship to the…

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Q: 5. Consider the tables of values for the two functions shown. _y =f(x) y = g(x) -27 -2 9. -1 4 -8 1…

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Q: 1-x Determine f"(a) for f(x) when a = -1. а. -1 с. 1 b. 0 d. 3

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Q: 7. Given the function f(x)=x²-x_and_g(x)=x-1, determine an equation for the combined function g(x)…

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Q: 10) Decompose the function h(x)=2x–10 into a composition of two functions f(x) and g(x) such that…

A: for decompose the function here we have to apply logic. lets here given that h(x)=2x-10 we have to…

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Q: a) The perimeter of a rectangle is 300 meters and its width is given by y. Express its area as the…

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Q: -2 -1 3 pove function f(x ) = 2 1.2", estimate f'(x) using h = 0.001 for the following three val

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Q: 3. The functions f, g and h are defined by f:x-x³, XER 8:x→ √e - 1, x=0 h: x→ In(x + 1), x>-1…

A: The functions g and h are given by: g: x→ex-1    ,   x≥0h: x→ln(x+1)     ,   x&gt;-1

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Q: Q2\3-Functions f and g are defined by f(x) = 1/x + 3x and %3D * .g(x) = -1/x + 6x - 4 find (f +…

A: According to our guidelines, only one question can be answered at a time, So I am answering only the…

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A: hx=2x-5x+64 It is the composition of two functions namely, fx=x4  &amp;  gx=2x-5x+6

Q: x² – 1 is: x - 2 the domain of f (x) = 1\ - (-0, -1]0 (-1,2) U (2, 00) O (-1,1] U (2, 0) O (2, 00)0

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Q: Practice Question 3.3

A: Let g(x) be any function we can write it as shown below

Q: 5) Find functions f and g so that f • g = H -3 H(x) = Vх — 2

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Q: 2 Suppose H (x) = Find two functions f and g such that (f og) (x)=H(x). V 2x+9. Neither function can…

A: Let f(x)=x Let g(x)=2x2+9 Now f○g(x)=f(g(x)) therefore, f○g(x)=f(2x2+9)=2x2+9 which is same as H(x)…

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Q: 1. The function h(x) can be expressed in the form f(g(x)) where g(x) = (x - 1) and -1 f(r) is…

A: We have given

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Q: 2. Given the functions f(x) = x² – 2x, g(x) : find the following functions and their corresponding…

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A: Given, hx=fxgx where fx=2x2+1, g1=0  and  g'x=-1 Put x=1 in f(x) f(1)=212+1f(1)=3 The derivattive of…

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Q: 2. What are all values of x for which the function / defined by f(x) (x - 3)e* is increasing? A. x3…

A: To find the interval on which function f(x)=x2-3e-x is increasing. First, we need to find the…

Q: 6. Given the functions f(x)=√x+5 and g(x)=√x²-4, a) Determine (fg)(x). b) Determine the exact value…

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