Find gof and fog when f: R → R and g: R → R is defined by f(x) = 8x 3 and g(x) = x 1/3

Question

Philoid · Accepted Answer

Since, f:R → R and g:R → R

fog:R → R and gof:R → R

f(x) = 8x³ and

Now, gof(x) = g(f(x)) = g(8x³)

gof(x) = 2x

fog(x) = 8x

Thus, gof(x) = 2x and fog(x) = 8x