F(x)=√(x+4) and g(x)=x^(2) find f(g(-6)

Question

F(x)=
`√(x+4)` and g(x)=
`x^(2)`

find f(g(-6)

Answer 1

`f(g(-6))=2√(10)`

Explanation:

first we need to find g(-6)

`g(x)= x^2\\\\g(-6)=(-6)^2\\\\g(-6)=36`

so g(-6)=36

so we need to find f(36)

`f(x)=√(x+4) \\\\f(36)=√(36+4) \\\\f(36)=√(40)\\\\f(36)=√(4)* √(10) \\\\f(36)=2√(10)`

so that's answer

`f(g(-6))=2√(10)`