Given that f(x) = 6x - 5 g(x) = 3x + 4 and h(x) = 4x – 6

2

find: -

i) g(-2) = ii) g[h(x)] = iii) f[g(2)] =

iv) gᴏh(2) vi) h-1(11

(i)

(ii)

(iii)

(iv)

(v)

Step-by-step explanation:

The given functions are

(i) Find g(-2).

Substitute x=-2 in g(x).

(ii) Find g[h(x)]

(iii) Find f[g(2)].

iv) Find gᴏh(2).

          (From part (ii) we get 

(v) Find

First find .

Divide both sides by 4.

Substitute x=11 in the inverse function.