Question

If f(x) = 3* + 10 and g(x) = 2x - 4, find (f - g)(x).

Answer 1

(f - g)(x) = 3ˣ - 2x + 14

Explanation:

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

We have f(x) = 3ˣ + 10 and g(x) = 2x - 4. Substitute:

(f - g)(x) = (3ˣ + 10) - (2x - 4) = 3ˣ + 10 - 2x - (-4) = 3ˣ + 10 - 2x + 4

(f - g)(x) = 3ˣ - 2x + 14