Given the following functions find g(f(z)) and h(f(1)) and the domain of each. f(z) = 5z - 15 g(z). h(z) = 9 – VE %3D I+ 20 g(f(z)) = Domain of g(f(x)): h(f(x))= Domain of h(f(x)):

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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**Given the following functions, find \( g(f(x)) \) and \( h(f(x)) \) and the domain of each.**

\[ f(x) = 5x - 15 \]

\[ g(x) = \frac{1}{x + 20} \]

\[ h(x) = 9 - \sqrt{x} \]

\[ g(f(x)) = \]

Domain of \( g(f(x)) \): 

\[ h(f(x)) = \]

Domain of \( h(f(x)) \):
Transcribed Image Text:**Given the following functions, find \( g(f(x)) \) and \( h(f(x)) \) and the domain of each.** \[ f(x) = 5x - 15 \] \[ g(x) = \frac{1}{x + 20} \] \[ h(x) = 9 - \sqrt{x} \] \[ g(f(x)) = \] Domain of \( g(f(x)) \): \[ h(f(x)) = \] Domain of \( h(f(x)) \):
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