SOLUTION: Find the indicated composite for the pair of functions. 18) (g ∘ f)(x): f(x) = x - 3 6 , g(x) = 6x + 3

Algebra ->  Rational-functions -> SOLUTION: Find the indicated composite for the pair of functions. 18) (g ∘ f)(x): f(x) = x - 3 6 , g(x) = 6x + 3      Log On


   

Question 134095: Find the indicated composite for the pair of functions.
18) (g ∘ f)(x): f(x) =
x - 3
6
, g(x) = 6x + 3
Answer by Madgamer107(9) About Me  (Show Source):
You can put this solution on YOUR website!
(g o f)(x) simply means g(f(x)). Since you know f(x), you can plug that into g(x) to find the composition.
f(x) = x - 36 (hard to tell from your text; i assume this is what you meant)
g(x) = 6x + 3
g(f(x)) = 6(x - 36) + 3
g(f(x)) = 6x - 216 + 3
g(f(x)) = 6x - 213
(g o f)(x) = 6x - 213