Question

If f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,

find f(x) – g(x).

Answer: x^2 - 4x + 3

Answer 1

f(x) – g(x) = x^2 - 4x + 3

Explanation:

f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,

f(x) – g(x) = 3x^2 - 4x + 5 - ( 2x^2 + 2)

Distribute the minus sign

f(x) – g(x) = 3x^2 - 4x + 5 - 2x^2 - 2

Combine like terms

f(x) – g(x) = x^2 - 4x + 3