If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of f(z)

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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If f(z) = z + 5 and g(z) = z – 5,
%3D
(a) f(g(z)) =
(b) g(f(1))
(c) Thus g(z) is called an
function of f(z)
Transcribed Image Text:If f(z) = z + 5 and g(z) = z – 5, %3D (a) f(g(z)) = (b) g(f(1)) (c) Thus g(z) is called an function of f(z)
Expert Solution
Step 1

Given f(x)=x+5 and g(x)=x-5.

a. f(g(x))

As g(x)=x-5 we will substitute the value in place of g(x) then we will get f(x-5)

Now substituting x as x-5 in f(x) 

f(x-5)=(x-5)+5=x.

So f(g(x))=x.

 

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