For the functions f(x) NOTE: Enter the exact answers (a) f(g(1)) = (b) g(f(1)) = (c) f(g(x)) = (d) g(f(x)) = (e) f(t)g(t) = 4 == and g(x) = 3 x + 5, find the following. 2 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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For the functions \( f(x) = \frac{4}{x} \) and \( g(x) = 3x + 5 \), find the following.

**NOTE:** Enter the exact answers.

(a) \( f(g(1)) = \frac{1}{2} \)

(b) \( g(f(1)) = \) [ ]

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

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

(e) \( f(t)g(t) = \) [ ]
Transcribed Image Text:For the functions \( f(x) = \frac{4}{x} \) and \( g(x) = 3x + 5 \), find the following. **NOTE:** Enter the exact answers. (a) \( f(g(1)) = \frac{1}{2} \) (b) \( g(f(1)) = \) [ ] (c) \( f(g(x)) = \) [ ] (d) \( g(f(x)) = \) [ ] (e) \( f(t)g(t) = \) [ ]
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