Question

For f(x) = 3x +1 and g(x) = х2 - 6, find (f-g)(x).

Answer 1

(f-g)(x) = -x^2 + 3x + 7

Explanation:

Note that -g(x) = -x^2 + 6.

Thus, (f-g)(x) = f(x) + [-x^2 + 6]: Add the following:

f(x) = 3x + 1

-g(x) = -x^2 + 6

--------- ------------------

(f-g)(x) = -x^2 + 3x + 7 (answer)