OVerify that the functions are inverses by showing that f. g and g . f are the identity function.√√√x-8f(x) = X + 8 and g(x) ==(f. g)(x) = f(g(x))(gof)(x)=||||== X===||g(f(x))33= X3+8+8)-8)

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Answered: Verify that the functions are inverses…

Verify that the functions are inverses by showing that f. g and go fare the identity function. f(x) = x³ + 8 and g(x) = X (fog)(x) = f(g(x)) || = X (g. f)(x) = g(f(x)) = 3 +8 X-8 +8 )-8

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.1: Finding Composite And Inverse Functions

Problem 10.13TI: Verify the functions are inverse functions. f(x)=4x3 and g(x)=x+34.

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Question

O
Verify that the functions are inverses by showing that f. g and g . f are the identity function.
√√√x-8
f(x) = X + 8 and g(x) =
=
(f. g)(x) = f(g(x))
(gof)(x)
=
||
||
=
= X
=
=
=
||
g(f(x))
3
3
= X
3
+8
+8
)-8
)

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