4 et f(x)=x-2, g(x)=√x, h(x) = x¹, and j(x) = 4x. Express each of the functions gi ne or more of f, g, h, and j. a)y=³√√x-2 _d) y = 16x (b) y = 4³√x (e) y = √(x-2)4 OA. (fog)(x) OC. (gof)(x) ... (a) Choose the correct composition for the function y = ³√x - 2 below. 1/9 (c) y = x (f) y = (4x-8)4 OB. (hog)(x) OD. (goh)(x)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 51HP
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Question
4
Let f(x) = x-2, g(x) = ³√x, h(x) = x, and j(x) = 4x. Express each of the functions given below as a composite involving
one or more of f, g, h, and j.
(a) y = ³√√x - 2
(d) y = 16x
(b) y = 4³√x
(e) y = √(x-2)4
OA. (fog)(x)
OC. (gof)(x)
(a) Choose the correct composition for the function y =√x - 2 below.
1/9
(c) y = x
(f) y = (4x-8)4
OB. (hog)(x)
OD. (goh)(x)
Transcribed Image Text:4 Let f(x) = x-2, g(x) = ³√x, h(x) = x, and j(x) = 4x. Express each of the functions given below as a composite involving one or more of f, g, h, and j. (a) y = ³√√x - 2 (d) y = 16x (b) y = 4³√x (e) y = √(x-2)4 OA. (fog)(x) OC. (gof)(x) (a) Choose the correct composition for the function y =√x - 2 below. 1/9 (c) y = x (f) y = (4x-8)4 OB. (hog)(x) OD. (goh)(x)
Consider the function f with the table of values given below and consider the function g(x) = 2f (-1x - 3) + 4.
x f (x)
0
4
0
10
12 12
8
CO
Fill in the table below using g(x) and the table of values given above:
g(x)
X
-3
-7
200
- 15
Transcribed Image Text:Consider the function f with the table of values given below and consider the function g(x) = 2f (-1x - 3) + 4. x f (x) 0 4 0 10 12 12 8 CO Fill in the table below using g(x) and the table of values given above: g(x) X -3 -7 200 - 15
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