Question

If G(F(x))=x^2-3, and G(x)= x-3, find F(3)

Answer 1

It was given that G(F(x)) = x^2 - 3 and G(x) = x - 3

It was asked to prove F(3)

G(F(x)) = x^2 - 3            (We have to replace the value of f(x) in the place of G(x))

The place of G(x) = x - 3 is replaced by x^2

Therefore the value of F(x) = x^2

Therefore the value of F(3) = (3)^2 = 9