Question

70 points plss help composite functions

Answer 1

`(f \circ g)(2)=2`

Explanation:

Given functions:

`\begin{cases}f(x)=-2x+8\\g(x)=√(x+7)\end{cases}`

The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).

Therefore (f o g)(2) means to substitute the result of g(2) in place of the x in the function f(x).

`\begin{aligned}\implies (f \circ g)(2) &=f[g(2)]\\&=f(√(2+7))\\&=f(√(9)) \\& = f(3)\\& = -2(3)+8\\&=-6+8\\&=2\end{aligned}`