SOLUTION: Please help-I am so confused! Thank you for your help! Find the indicated composite for the pair of functions. (g*f)(x): f(x)=x-3/6, g(x)=6x+3

Algebra ->  Functions -> SOLUTION: Please help-I am so confused! Thank you for your help! Find the indicated composite for the pair of functions. (g*f)(x): f(x)=x-3/6, g(x)=6x+3       Log On


   

Question 134357: Please help-I am so confused! Thank you for your help!
Find the indicated composite for the pair of functions.
(g*f)(x): f(x)=x-3/6, g(x)=6x+3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Do you want to find (g o f)(x) (ie g of f of x)?


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