SOLUTION: Composite function, confused! Let h(t) = 5t/(t-1) and k(t) = 9/(3t+7) Find (hºk)(t) and simplify I need someone to explain how to solve Thank you

Algebra ->  Functions -> SOLUTION: Composite function, confused! Let h(t) = 5t/(t-1) and k(t) = 9/(3t+7) Find (hºk)(t) and simplify I need someone to explain how to solve Thank you      Log On


   

Question 903742: Composite function, confused!
Let h(t) = 5t/(t-1) and k(t) = 9/(3t+7)
Find (hºk)(t) and simplify
I need someone to explain how to solve
Thank you
Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39618) About Me  (Show Source):
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
h(t) = 5t%2F%28t-1%29

k(t) = 9%2F%283t%2B7%29

(hok)(t) is equal to h(k(t))

basically, you are replacing the t in h(t) with k(t)).

you will get:

h(k(t)) = %285%2A%289%2F%283t%2B7%29%29%29%2F%289%2F%283t%2B7%29-1%29

if you solve it correctly, you should get:

h(k(t)) = 45%2F%282-3t%29