ANSWER
[tex](f\circ g)(x)=7 {x}^{2} - 9[/tex]
EXPLANATION
It was given that;
[tex]f(x) = 7x - 9[/tex]
and
[tex]g(x) = {x}^{2} [/tex]
We want to find an expression for the composition function;
[tex](f\circ g)(x)=f(g(x))[/tex]
[tex](f\circ g)(x)=f( {x}^{2} )[/tex]
We substitute x² into f(x)=7x-9
This will give us:
[tex](f\circ g)(x)=7 {x}^{2} - 9[/tex]
