solving a algebraic function

Question

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

Answer 1

This is simply function subtraction: (f-g)(x) = f(x) - g(x) = 2x² + 5 - x² = x² + 5.

So (f-g)(x) = x² + 5.