Question

Hi. Someone help me out asap please!

Answer 1

(3)

(a)
`(f\circ g)(x)= f(g(x))=(3x-7)+5 = 3x-2`

(b)
`(g\circ f)(x) = g(f(x)) = 3(x+5)-7=3x+8`

(c)
`(f\circ g)(-3) =3(-3)-2=-11`

(d)
`(g\circ f)(9) = 3\cdot9+8=35`

(4)
`f(x) = 5x -7 \\f^(-1)(f(x))=f^(-1)(5x-7)\\x = 5f^(-1)(x)-7\\f^(-1)(x) = (1)/(5)x+(7)/(5)`

`f^(-1)(-27) = (1)/(5)(-27)+(7)/(5)=-4`

Answer 2

3.
a) (3x - 7) + 5
b) 3(x + 5) - 7
c) - 11
d) 35

4.
f^-1 = (1/5)x + 7
f^-27 = -142