SOLUTION: (10 pts) Let f (x) = 3x^2 - x - 7 and g(x) = 3x - 1 (a) Determine the composite function (f ∘ g)(x) and simplify the results. Show work. (b) Compute (f ∘ g

Question 1135884: (10 pts) Let f (x) = 3x^2 - x - 7 and g(x) = 3x - 1
(a) Determine the composite function (f ∘ g)(x) and simplify the results. Show work.

(b) Compute (f ∘ g)(-1) . Show work.
Answer that was provided on the site is not correct

Found 2 solutions by MathLover1, rothauserc:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Let and
(a) Determine the composite function (f ∘ g)(x) and simplify the results. Show work.
(f ∘ g)(x) =
(f ∘ g)(x) =
(f ∘ g)(x) =
(f ∘ g)(x) =
(f ∘ g)(x) =
(f ∘ g)(x) =

(b) Compute (f ∘ g)(-1) .
(f ∘ g)(-1) =
(f ∘ g)(-1) =
(f ∘ g)(-1) =

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
(f o g)(x) = 3(3x-1)^2 -(3x-1) -7 = 3(9x^2 -6x +1) -3x +1 -7 =
:
27x^2 -18x +3 -3x +1 -7 = 27x^2 -21x -3
:
(f ∘ g)(x) = 27x^2 -21x -3
:
I assume the problem does not want the inverse of the composite
:
Rather, just evaluate the composite at x = -1
:
(f o g)(-1) = 27(-1)^2 -21(-1) -3 =
:
27 +21 -3 = 45
:

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