F (x) = sqrt(x)+ 2, g(x)=x^2+ 1 find f(g(x)) and g(f(x))

asked Aug 16, 2022 64.2k views

2 votes

F (x) = sqrt(x)+ 2, g(x)=x^2+ 1

find f(g(x))
and g(f(x))

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1 vote

Answer:

$f(x) = √(x) + 2 \\ \\ g(x) = {x}^(2) + 1 \\ \\ f{g(x)} = \sqrt{ {x}^(2) + 1 } + 2 \\ \\ g{f(x)} = {( √(x) + 2 )}^(2) + 1$

Forethought answered Aug 21, 2022

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