The given functions are:
[tex]\begin{gathered} f(x)=4x-1 \\ g(x)=x^2-3 \end{gathered}[/tex]We need to find the composite function (fog)(-5). This is equal to:
[tex]\begin{gathered} (f\circ g)(x)=f(g(x)) \\ (f\circ g)(x)=4(x^2-3)-1 \\ (f\circ g)(-5)=4((-5)^2-3)-1 \\ (f\circ g)(-5)=4(25-3)-1 \\ (f\circ g)(-5)=4(22)-1 \\ (f\circ g)(-5)=88-1 \\ (f\circ g)(-5)=87 \end{gathered}[/tex]The answer is (fog)(-5)=87
