Help! how can is g(f(x) for this problem done?

Question

If F(x)= x³+3x²+4x+5 and G(x)= 5 then g(f(x))=?                

Answer 1

Given that f(x) = x^3 +3x^2 +4x+5 and g(x) = 5

Asked to prove g(f(x))

g(f(x))

=g(x^3 + 3x^2 + 4x +5)              {substitute the value of f(x)}

It was given that g(x) = 5  (constant)

Therefore g(x^3 +3x^2 + 4x +5)  = 5 (constant function)

g(f(x)) = 5 (constant fonction)