Question

If f(x) = 2x² + 5 and g(x)=x2-2, find (f- g)(x).

Answer 1

f(x)= 2x^2 + 5

g(x)= x^2 - 2

(f-g)(x)= (2x^2 + 5 ) - (x^2 - 2 )

Distribute the minus sign:

(f-g)(x)= 2x^2 + 5 -x^2 + 2

Combine like terms

(f-g)(x)= x^2 + 7 (option C)