Hello! To find the composition of functions we want to take all the x values in f(x) and replace them with g(x). Then to solve for a specific value, we plug in that value for x. Let's look at the steps below [tex] f(x)=x^{2} -4x-3[/tex] [tex]g(x)=\frac{x+3}{4}[/tex]
So we find [tex]f(g(x))=f(g(9))=(\frac{9+3}{4})^2 - 4(\frac{9+3}{4})-3[/tex] [tex] =3^2 - 4(3)-3 [/tex] [tex]= 9-12-3=-6[/tex] Now we want to find the solution when x is 9 so we plug in a 9 whenever we see an x
