Given the functions:
[tex]\begin{gathered} f(x)=8x+14 \\ g(x)=5x-8 \end{gathered}[/tex]1. You need to substitute the function g(x) into the function f(x), in order to find:
[tex](f\circ g)(x)[/tex]Then:
[tex](f\circ g)(x)=8(5x-8)+14[/tex]2. You need to substitute this value of "x into the function:
[tex]x=2[/tex]And then evaluate, in order to find:
[tex](f\circ g)(2)[/tex]You get:
[tex](f\circ g)(2)=8(5(2)-8)+14[/tex][tex](f\circ g)(2)=8(10-8)+14[/tex][tex](f\circ g)(2)=8(2)+14[/tex][tex](f\circ g)(2)=16+14[/tex][tex](f\circ g)(2)=30[/tex]Hence, the answer is:
[tex](f\circ g)(2)=30[/tex]