Question

100 points pls helppppp

Answer 1

`(g \circ f)(0)=216`

Explanation:

Given functions:

`\begin{cases}f(x)=2x+6\\g(x)=x^3\end{cases}`

(g o f)(x) is a composite function.

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (g o f)(0) means to substitute the function f(x) when x=0 in place of the x in function g(x).

`\begin{aligned}\implies (g \circ f)(0)&=g[f(0)]\\& = g(2(0)+6)\\&=g(0+6)\\&=g(6)\\&=6^3\\&=216\end{aligned}`