SOLUTION: For the given functions f and g , find the indicated composition. f(x) = 10x2 - 8x, g(x) = 20x - 4 (f∘g)(12)

Algebra ->  Equations -> SOLUTION: For the given functions f and g , find the indicated composition. f(x) = 10x2 - 8x, g(x) = 20x - 4 (f∘g)(12)      Log On


   

Question 1135781: For the given functions f and g , find the indicated composition.
f(x) = 10x2 - 8x, g(x) = 20x - 4
(f∘g)(12)
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+10x%5E2+-+8x,
g%28x%29+=+20x+-+4

(f∘g%7B%7B%7B%29%28%7B%7B%7B12)
(f∘g%7B%7B%7B%29%28%7B%7B%7Bx)=f%28g%28x%29%29

(f∘g%7B%7B%7B%29%28%7B%7B%7Bx)=f%2820x+-+4%29

(f∘g%7B%7B%7B%29%28%7B%7B%7Bx)=10%2820x+-+4%29%5E2+-+8%2820x+-+4%29

(f∘g%7B%7B%7B%29%28%7B%7B%7Bx)=10%28400x%5E2+-+160x%2B16%29+-+160x+%2B32

(f∘g%7B%7B%7B%29%28%7B%7B%7Bx)=4000x%5E2+-+1600x%2B160+-+160x+%2B32

(f∘g%7B%7B%7B%29%28%7B%7B%7Bx)=4000x%5E2+-+1760x%2B192

then
(f∘g%7B%7B%7B%29%28%7B%7B%7B12)=4000%2A12%5E2+-+1760%2A12%2B192

(f∘g%7B%7B%7B%29%28%7B%7B%7B12)=4000%2A144+-+21120%2B192

(f∘g%7B%7B%7B%29%28%7B%7B%7B12)=576000+-+21120%2B192

(f∘g%7B%7B%7B%29%28%7B%7B%7B12)=555072


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
For the given functions f and g , find the indicated composition.
f(x) = 10x2 - 8x, g(x) = 20x - 4
(f∘g)(12)
g(x) = 20x - 4

g(12) = 20(12) - 4 = 236



That's all!!