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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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) \(h(x)=4-x^2, x \geq 0\)
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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