Question

Let f(x) = 5 - x and g(x) = 2x - 1. Perform the following operation: (g - f)(x).

Answer 1

(g - f)(x) = 3x - 6

Explanation:

Step 1: Define

f(x) = 5 - x

g(x) = 2x - 1

Step 2: Find (g - f)(x)

(g - f)(x) = 2x - 1 - (5 - x)

(g - f)(x) = 2x - 1 - 5 + x

(g - f)(x) = 3x - 6

Answer 2

3x-6

Explanation:

f(x) = 5 - x

g(x) = 2x - 1

(g - f)(x) = 2x - 1 - (5 - x )

Distribute the minus sign

=2x - 1 - 5 + x

Combine like terms

= 3x-6