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

g(x) − f(x) = 3x − 8 − 5x

g(x) − f(x) = 3x − 10 − 5x

g(x) − f(x) = −2x − 8 − 3x

g(x) − f(x) = −2x − 10 − 3x

Question

Given the parent functions f(x) = 5x − 1 and g(x) = 3x − 9, what is g(x) − f(x)?

 g(x) − f(x) = 3x − 8 − 5x

 g(x) − f(x) = 3x − 10 − 5x

 g(x) − f(x) = −2x − 8 − 3x

 g(x) − f(x) = −2x − 10 − 3x

solomonzelman · Answer

you have to subtract "what f(x) is equal to" (i.e.  5x-1 )        FROM
"what g(x) is equal to" (e.i.  3x-9 )

in other words
(3x-9)-(5x-1)
now, lets simplify this.
(3x-9)-(5x-1)
3x-9-5x-(-1)
3x-9-5x + 1)    (switching the order to make it too easy;)  )
3x-5x-9+1
-2x-8

there you go !

anonymous · Answer

Thanks so much!!