Find f(x) and g(x) such that h(x) = (fog)(x). h(x) = (9x + 9)² Choose the correct pair of functions. O A. f(x)=x², g(x) = 9x + 9 O B. f(x)=9x +9₁ g(x)=x² O c. f(x)=√x, g(x) = ~ 9 OD. f(x) = X-9 X-9 9 , g(x)=√x

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:**

Find \( f(x) \) and \( g(x) \) such that \( h(x) = (f \circ g)(x) \).

Given:
\[ h(x) = (9x + 9)^2 \]

**Choose the correct pair of functions:**

- **A.** \( f(x) = x^2 \), \( g(x) = 9x + 9 \)

- **B.** \( f(x) = 9x + 9 \), \( g(x) = x^2 \)

- **C.** \( f(x) = \sqrt[4]{x} \), \( g(x) = \frac{x - 9}{9} \)

- **D.** \( f(x) = \frac{x - 9}{9} \), \( g(x) = \sqrt[4]{x} \)
Transcribed Image Text:**Problem Statement:** Find \( f(x) \) and \( g(x) \) such that \( h(x) = (f \circ g)(x) \). Given: \[ h(x) = (9x + 9)^2 \] **Choose the correct pair of functions:** - **A.** \( f(x) = x^2 \), \( g(x) = 9x + 9 \) - **B.** \( f(x) = 9x + 9 \), \( g(x) = x^2 \) - **C.** \( f(x) = \sqrt[4]{x} \), \( g(x) = \frac{x - 9}{9} \) - **D.** \( f(x) = \frac{x - 9}{9} \), \( g(x) = \sqrt[4]{x} \)
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