SOLUTION: Hi can you help me with this math problem? Find the indicated composite for the pair of functions. x-3 (gof)(x):f(x)= 6 , g(x)=6x+3

Algebra ->  Rational-functions -> SOLUTION: Hi can you help me with this math problem? Find the indicated composite for the pair of functions. x-3 (gof)(x):f(x)= 6 , g(x)=6x+3       Log On


   

Question 134358: Hi can you help me with this math problem?

Find the indicated composite for the pair of functions.
x-3
(gof)(x):f(x)= 6 , g(x)=6x+3

I DIDNT KNOW HOW TO DRAW THE LINE FOR X-3 OVER SIX THATS WHY IT LOOKS LIKE THAT BUT ITS SUPPOSED TO BE X-3 OVER 6.

THE ANSWER SHOULD BE X
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!


Start with the given property

Plug in f%28x%29=%28x-3%29%2F6 into each x of g%28x%29=6x%2B3



g%28f%28x%29%29=cross%286%29%28%28x-3%29%2Fcross%286%29%29%2B3%29 Multiply. Notice how the 6's cancel


g%28f%28x%29%29=x-3%2B3%29 Simplify


g%28f%28x%29%29=x%2Bcross%28-3%2B3%29 Combine like terms. Notice the 3's cancel


g%28f%28x%29%29=x Simplify