Find gof and fog, if

(ii)

Then, (gof)(x) = g(f(x)) = g(8x³) = = 2x

(fog)(x) = f(g(x)) =

Let f, g and h be functions from R to R. Show that

(f + g)oh = foh + goh

(f . g)oh = (foh) . (goh)

Find gof and fog, if

(i) f (x) = | x | and g(x) = | 5x – 2 |

If , show that fof(x) = x, for all . What is the inverse of f?

State with reason whether following functions have inverse

f : {1, 2, 3, 4} → {10} with

f = {(1, 10), (2, 10), (3, 10), (4, 10)}