If the two functions are inverses, which of the following statements correctly verifies this? f(x) = 10x+7 2 and g(x) = 2x+7 10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If the two functions are inverses, which of the following statements correctly verifies
this?
10x+7
2
f(x)
Select all that apply.
-
and g(x)
Og(f(x)) = g(2+7)
10
2x+7
10
=
O The functions f and g are not inverses.
10 (²+²)+7
Of(g(x)) = f(²17)
10
2
Of(g(r)) = f(102+7)
Og(f(x)) = g(10+7)
O The graphs of f and g are reflections over the liney = X.
=
H
10(²,6²7)+7 = x
2
=
2(¹02+7)+7
10
2(102+7)+7
10
=X
= X
=X
Transcribed Image Text:If the two functions are inverses, which of the following statements correctly verifies this? 10x+7 2 f(x) Select all that apply. - and g(x) Og(f(x)) = g(2+7) 10 2x+7 10 = O The functions f and g are not inverses. 10 (²+²)+7 Of(g(x)) = f(²17) 10 2 Of(g(r)) = f(102+7) Og(f(x)) = g(10+7) O The graphs of f and g are reflections over the liney = X. = H 10(²,6²7)+7 = x 2 = 2(¹02+7)+7 10 2(102+7)+7 10 =X = X =X
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