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11 votes
Question in image, it asks to show your work

Question in image, it asks to show your work-example-1
User Julien
by
7.2k points

1 Answer

3 votes

Answer:

• f(g(x)) =
\sqrt{x^(2) + 1} + 8

• g(f(x)) = 16
√(x) + x + 65

Explanation:

• f(g(x)) = f(x² + 1)

=
\sqrt{x^(2) + 1} + 8

• g(f(x)) = g(
√(x + 8) )

=
(√(x ) + 8)^(2) + 1

= x + 16
√(x) + 64 + 1

= 16
√(x) + x + 65

User Cristi
by
7.0k points