Question

Given the parent functions f(x) = 5x-1 and g(x) = 3^x -9 what is gx-fx

Answer 1

just subtract them,

Answer 2

like this :
\(\large g(x) - f(x) = 3^x-9 - (5x-1)\)
simplify

Answer 3

i got it :D

Answer 4

Can you help with another

Answer 5

sure :)

Answer 6

given the parent functions f(x) = log3 (5x-5) and gx = log 3 (x-1) what is f(x) - g(x)

Answer 7

did you try to subtract them ?

then use the log property that
\(\large \log_ab -\log_a c = \log_a (\dfrac{b}{c})\)

Answer 8

no..so I should do the numbers first before log?

Answer 9

no, i meant this :
\(\large f(x)-g(x) = \log_3 (5x-5)- \log_3 (x-1 ) \\ \large = \dfrac{\log_3 (5x-5)}{\log_3(x-1)}\)

got this ?

Answer 10

I never really understood log at alll!

Answer 11

sorry, that should be
\(\large f(x)-g(x) = \log_3 (5x-5)- \log_3 (x-1 ) \\ \large = \log_3 \dfrac{ (5x-5)}{(x-1)}\)

and logs are not difficult.

here, i used the property that , differences of log equals log of ratio

Answer 12

Oh ok I see what you did there! What should be the next step?

Answer 13

factor out 5 from 5x-5

Answer 14

5(x-1)
and not that x-1 gets cancelled from numerator and denominator :)

Answer 15

yeah so x-1 will stay and you have 5(x-1)