Express the given function h as a composition of two functions f and g so that h(x) = (fo g)(x). 1 h(x) = 9x +5 ..... Choose the correct pair of functions. O A. f(x) =- g(x) = 9x + 5 O B. f(x) = g(x) = x- 5 9x' 1 OC. f(x) = x- 5, g(x) = %3D 3x O D. f(x) = 9x +5, g(x) =

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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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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**Exercise:** Express the given function \( h \) as a composition of two functions \( f \) and \( g \) such that \( h(x) = (f \circ g)(x) \).

\[ h(x) = \frac{1}{9x + 5} \]

---

**Choose the correct pair of functions.**

- **Option A:**  
  \( f(x) = \frac{1}{x} \),  \( g(x) = 9x + 5 \)

- **Option B:**  
  \( f(x) = \frac{1}{9x} \),  \( g(x) = x - 5 \)

- **Option C:**  
  \( f(x) = x - 5 \),  \( g(x) = \frac{1}{3x} \)

- **Option D:**  
  \( f(x) = 9x + 5 \),  \( g(x) = \frac{1}{x} \)
Transcribed Image Text:**Exercise:** Express the given function \( h \) as a composition of two functions \( f \) and \( g \) such that \( h(x) = (f \circ g)(x) \). \[ h(x) = \frac{1}{9x + 5} \] --- **Choose the correct pair of functions.** - **Option A:** \( f(x) = \frac{1}{x} \), \( g(x) = 9x + 5 \) - **Option B:** \( f(x) = \frac{1}{9x} \), \( g(x) = x - 5 \) - **Option C:** \( f(x) = x - 5 \), \( g(x) = \frac{1}{3x} \) - **Option D:** \( f(x) = 9x + 5 \), \( g(x) = \frac{1}{x} \)
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