If f (x) = 3x^2+1 and g (x) = 1-x, what is the value of (f-g) (2) ?

14

Step-by-step explanation:

note that (f - g) = f (x) - g (x)

f (x) - g (x) = 3x² + 1 - (1 - x) = 3x² + 1 - 1 + x = 3x² + x

To evaluate (f - g) (2) substitute x = 2 into f (x) - g (x)

(f - g) (2) = 3 (2) ² + 2 = (3 * 4) + 2 = 12 + 2 = 14