a. Choose the proof that shows f(x) = x1 and g(x) = Vx are inverses of each other below. OA. f(x) = x19 OB. 19 f(9(x)) = () f(g(x)) = x f(x) = x19 Oc. f(9(x)) = (") f(g(x)) = x f(x) = x19 9(x) = f(f(x)) = (x19) n 19 f(f(x)) = x361 9(fx)) = 11 g(f(x)) = x g(x) = g(g(x)) = 19/E 9(@(x)) = 361E

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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a. Choose the proof that shows f(x) = x1 and g(x) = Vx are inverses of each other below.
OA.
f(x) = x19
OB.
19
f(9(x)) = ()
f(g(x)) = x
f(x) = x19
Oc.
f(9(x)) = (")
f(g(x)) = x
f(x) = x19
9(x) =
f(f(x)) = (x19)
n 19
f(f(x)) = x361
9(fx)) = 11
g(f(x)) = x
g(x) =
g(g(x)) =
19/E
9(@(x)) = 361E
Transcribed Image Text:a. Choose the proof that shows f(x) = x1 and g(x) = Vx are inverses of each other below. OA. f(x) = x19 OB. 19 f(9(x)) = () f(g(x)) = x f(x) = x19 Oc. f(9(x)) = (") f(g(x)) = x f(x) = x19 9(x) = f(f(x)) = (x19) n 19 f(f(x)) = x361 9(fx)) = 11 g(f(x)) = x g(x) = g(g(x)) = 19/E 9(@(x)) = 361E
Expert Solution
Step 1

To Determine: Given both functions are inverse of each other.

                       Calculus homework question answer, step 1, image 1

Step 2

Concept Used: When two functions are inverse of each other if and only if

(fog)(x) = (gof)(x) = x

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