SOLUTION: Let f(x) = 2x^2 - 8 and g(x) = x - 7. (a) Find the composite function(fog)(x)and simplify. Show work. (b) Find( fog)(3) . Show work.

Algebra ->  Finance -> SOLUTION: Let f(x) = 2x^2 - 8 and g(x) = x - 7. (a) Find the composite function(fog)(x)and simplify. Show work. (b) Find( fog)(3) . Show work.      Log On


   

Question 1136376: Let f(x) = 2x^2 - 8 and g(x) = x - 7.
(a) Find the composite function(fog)(x)and simplify. Show work.
(b) Find( fog)(3) . Show work.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Let f%28x%29+=+2x%5E2+-8+and g%28x%29+=+x+-7.
(a) Find the composite function(fog)(x)and simplify
(fog)(x)=f%28g%28x%29%29
(fog)(x)=f%28x+-7%29
(fog)(x)=2%28x+-7%29%5E2-8
(fog)(x)=2%28x%5E2+-14x%2B49%29-8
(fog)(x)=2x%5E2+-28x%2B98-8
(fog)(x)=2x%5E2+-28x%2B90

(b) Find (fog)(3)
(fog)(3)=2%2A3%5E2+-28%2A3%2B90
(fog)(3)=18+-84%2B90
(fog)(3)=24