Given the functions: (a) Find their inverse function, (b) verify that they are inverses of each other, (c) the domain and range of their inverse and (d) their graph. a) \(f(x)=\frac{2 x+5}{x-7}\) b) \(g(x)=1+\sqrt{1+x}\) c) \(h(x)=4-x^2, x \geq 0\)
Given the functions: (a) Find their inverse function, (b) verify that they are inverses of each other, (c) the domain and range of their inverse and (d) their graph. a) \(f(x)=\frac{2 x+5}{x-7}\) b) \(g(x)=1+\sqrt{1+x}\) c) \(h(x)=4-x^2, x \geq 0\)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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![Given the functions: (a) Find their inverse
function, (b) verify that they are inverses of each
other, (c) the domain and range of their inverse
and (d) their graph.
a) \(f(x)=\frac{2 x+5}{x-7}\)
b) \(g(x)=1+\sqrt{1+x}\)
c) \(h(x)=4-x^2, x \geq 0\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49802190-9c4a-48ab-8b57-23a93c960674%2F38b6f79d-112c-4a46-9833-5c2a8397dcae%2Fdikax69_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the functions: (a) Find their inverse
function, (b) verify that they are inverses of each
other, (c) the domain and range of their inverse
and (d) their graph.
a) \(f(x)=\frac{2 x+5}{x-7}\)
b) \(g(x)=1+\sqrt{1+x}\)
c) \(h(x)=4-x^2, x \geq 0\)
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