Question

Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (f o g)(4) 9 15 5 13

Answer 1

F(g(4))
f(2(4)-3)
f(8-3)
f(5)
4(5)-7
13

Answer 2

$(fog)(x)=f(g(x))\Longrightarrow (fog)(x)=f(2x-3)\iff\\\\ (fog)(x)=4(2x-3)-7\iff (fo g)(x)=8x-19\\\\ \Longrightarrow (fo g)(4)=16-19\iff\boxed{(fo g)(4)=-3}$