Given the parent functions f(x) = 5x - 1 and g(x) = 3x - 9, what is g(x) - f(x)?

Solution:

Given 2 functions f(x) and g(x)

f(x) = 5x - 1 

g(x) = 3x - 9

To find g(x) - f(x)

g(x) - f(x) = (3x - 9) - (5x - 1)

By further calculation

g(x) - f(x) = 3x - 9 - 5x + 1

So we get

g(x) - f(x) = 3x - 5x - 9 + 1

g(x) - f(x) = -2x - 8

Therefore, g(x) - f(x) = - (2x + 8).

Given the parent functions f(x) = 5x - 1 and g(x) = 3x - 9, what is g(x) - f(x)?

Summary:

Given the parent functions f(x) = 5x - 1 and g(x) = 3x - 9, g(x) - f(x) is - (2x + 8).