(3)
(a) [tex](f\circ g)(x)= f(g(x))=(3x-7)+5 = 3x-2[/tex]
(b)[tex](g\circ f)(x) = g(f(x)) = 3(x+5)-7=3x+8[/tex]
(c) [tex](f\circ g)(-3) =3(-3)-2=-11[/tex]
(d) [tex](g\circ f)(9) = 3\cdot9+8=35[/tex]
(4) [tex]f(x) = 5x -7 \\f^{-1}(f(x))=f^{-1}(5x-7)\\x = 5f^{-1}(x)-7\\f^{-1}(x) = \frac{1}{5}x+\frac{7}{5}[/tex]
[tex]f^{-1}(-27) = \frac{1}{5}(-27)+\frac{7}{5}=-4[/tex]
