Solve this please!???

Question

f(x) = 3x+6 and h(x)= x/3

show that

(ƒ^-1○h^-1)(x) = (h○f)^-1(x)

THANKS.

Answer 1

fֿ¹(x) = (1/3)(x - 6)

hֿ¹(x) = 3x

=> (ƒ^-1○h^-1)(x) = (1/3)(3x - 6) = x - 2

(hof) (x) = (1/3)(3x + 6) = x + 2

=> (hof)ֿ¹(x) = x - 2.