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) $h(x)=4-x^2, x \geq 0$

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