Question

f(x)=5x-2 and g(x)=2x-5 what is (fog)(x)

Answer 1

Answer:

(fog)(x)​=10x-27

Explanation:

Given the function:

$\begin{gathered} f\mleft(x\mright)=5x-2 \\ g\mleft(x\mright)=2x-5 \end{gathered}$

The composite function (fog)(x)​ is:

$\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =5(g(x))-2 \\ =5(2x-5)-2 \\ =10x-25-2 \\ (f\circ g)(x)=10x-27 \end{gathered}$