Question

Using the function f and g given below, find f o g and g o f . check whether f o g = g o f, f(x)=x-6, g(x)=x^2

Answer 1

Answer:

fog

fo(g)

f[g(x)]

f(x^2)

x^2-6

&

gof

gof(x)

g[f(x)]

g(x-6)

(x-6)^2

x^2+36-12x