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) 2x+5 = x-7 b) g(x) = 1 + √√√1+x c) h(x) = 4 - x², 2 x ≥ 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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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)
2x+5
=
x-7
b) g(x) = 1 + √√√1+x
c) h(x) = 4 - x²,
2
x ≥ 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) 2x+5 = x-7 b) g(x) = 1 + √√√1+x c) h(x) = 4 - x², 2 x ≥ 0
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