SOLUTION: Find (f ∘ g)(x) and (g ∘ f)(x). Also specify the domain for each. f(x) = 6x2 − 2x − 1, g(x) = x + 3

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find (f ∘ g)(x) and (g ∘ f)(x). Also specify the domain for each. f(x) = 6x2 − 2x − 1, g(x) = x + 3      Log On


   

Question 1116531: Find (f ∘ g)(x) and (g ∘ f)(x).
Also specify the domain for each.
f(x) = 6x2 − 2x − 1, g(x) = x + 3
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(f ∘ g)(x)
6%28x%2B3%29%5E2-2%28x%2B3%29-1
6%28x%5E2%2B6x%2B9%29-%282x%2B6%29-1
.
.
(unfinished)


(g ∘ f)(x)
6x%5E2-2x-1%2B3
highlight%286x%5E2-2x%2B2%29


Domain of both is all real numbers.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

            Calculation of (fog)(x) in the post by @josgarithmetic was   W R O N G.

            Below please find the correct calculation. 


(fog)(x) = 6*(x+3)^2 - 2*(x+3) - 1 = 6x^2 + 36x + 54 - 2x - 6 - 1 = 6x^2 + 34x + 47.