Question

Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)? (2 points)

Question 1 options:

1)

g(x) − f(x) = 5x − 8 − 3x

2)

g(x) − f(x) = 5x − 12 − 3x

3)

g(x) − f(x) = 3x − 8 − 5x

4)

g(x) − f(x) = 3x + 12 − 5x

Answer 1

2) g(x) − f(x) = 5x − 12 − 3x

Explanation:

g(x) - f(x) = (5x - 10) - (3x + 2)

= 5x - 10 - 3x - 2

= 5x - 10 - 2 - 3x

= 5x - 12 - 3x