Question

I need help on this question

Answer 1

(f-g)(4) = 10

Explanation:

(f-g)(x) = f(x) - g(x)

= 1/2 x^2 - 1/4 x + 4 - 1/2 x + 1

= 1/2 x^2 - 1/4 x - 1/2 x + 4 + 1

= 1/2 x^2 - 3/4 x + 5

(f-g)(4)

= 1/2 (4)^2 - 3/4 (4) + 5

= 1/2 * 16 - 3 + 5

= 8 - 3 + 5

= 5 + 5

= 10