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

A) g(x) − f(x) = 3x − 8 − 5x

B) g(x) − f(x) = 3x − 10 − 5x

C) g(x) − f(x) = −2x − 8 − 3x

D) g(x) − f(x) = −2x − 10 − 3x

I got C.. am i right?

Question

Given the parent functions f(x) = 5x − 1 and g(x) = 3x − 9, what is g(x) − f(x)?

A) g(x) − f(x) = 3x − 8 − 5x

B) g(x) − f(x) = 3x − 10 − 5x

C) g(x) − f(x) = −2x − 8 − 3x

D) g(x) − f(x) = −2x − 10 − 3x


I got C.. am i right?

anonymous · Answer

@uri

anonymous · Answer

expanded, g(x) - f(x) would be 3x - 9 -5x +1, condensed would be -2x -8

anonymous · Answer

so i was wrong?

anonymous · Answer

yes, A is the closest by expanding the -2x to the 3x-5x

anonymous · Answer

that was the other one i thought it might be, thanks!

anonymous · Answer

You're welcome.

anonymous · Answer

it wasnt a...

anonymous · Answer

what are you going off of to determine the answer?

aum · Answer

They simplified the constant terms but left the x terms unsimplified:
g(x) − f(x) = 3x − 9 - (5x − 1) = 3x - 9 - 5x + 1 = 
3x - 9 + 1 -5x = 3x - 8 - 5x
So A.