(f –g)(3)..... .

Question

Let f(x )=4+3x and g(x )=x ^2−3. Find each function value: (f –g)(3)

Answer 1

Let f(x) = 4+3x and g(x) = x ² − 3.

Find each function value: (f – g)(3).

Solution One:

1. Simplify f(x) - g(x) = (4 + 3x) - (x² - 3) = -x² +3x + 7
2. Substitute f - g (3) = -(3)² +3(3) + 7 = -9 + 9 + 7 = 7