Question

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

g(x) − f(x) = 5x − 8 − 3x

g(x) − f(x) = 5x − 12 − 3x<--------------------

g(x) − f(x) = 3x − 8 − 5x

g(x) − f(x) = 3x + 12 − 5x

Points earned on this question: 2

Answer 1

B IS YOUR ANSWER
(PROOF)
f(x) = 3x + 2
g(x) = 5x - 10

g(x) - f(x) = (5x - 10) - (3x + 2)
g(x) - f(x) = (5x - 3x) + (-10 - 2)
g(x) - f(x) = 2x - 12

Answer 2

Option B. g(x) - f(x) = 5x - 3x - 12

Explanation:

In this question the given functions are

f(x) = 3x + 2

g(x) = 5x - 10

Now we have to calculate the value of g(x) - f(x)

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

= 5x - 10 - 3x - 2

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

= 5x - 3x - 12

Option B. (5x - 3x - 12) is the answer.