Answer:
(fog)(x)=10x-27
Explanation:
Given the function:
[tex]\begin{gathered} f\mleft(x\mright)=5x-2 \\ g\mleft(x\mright)=2x-5 \end{gathered}[/tex]The composite function (fog)(x) is:
[tex]\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}[/tex]