Question

Let f(x) = 3x + 4 and g(x)= x2 - x + 2. Perform the function operation and then find the domain.

g(x)-f(x)
g(x) – f(x) = (Simplify your answer.)

Answer 1

g(x) - f(x) = x² - 4x - 2

The domain would be all real numbers for x. Or (-∞, ∞). Because there are no values that you could plug in for x that would make the function undefined.

Explanation:

g(x) - f(x) = (x² - x + 2) - (3x + 4)

= x² - x + 2 - 3x - 4

= x² - 4x - 2