Find the composition.

Question

If f(x) = x^2 + 12 and g(x) = x^2 - 5, find (g*f)(x)

Answer 1

f(x) = x^2 + 12 and g(x) = x^2 - 5, find (g*f)(x)

g(f) = (x^2 + 12)^2 - 5
= x^2 +24 x +144-5
= x^2 + 24 x +139

Answer 2

(g*f)(x) or (g○f)(x)
=g(f(x))
= g(x^2+12)
= (x^2+12)^2 - 5
= x^4 + 24x^2 + 139