# Math Help - Determining of the function is increasing or decreasing?

1. ## Determining if the function is increasing or decreasing?

g(x) = 5x-3.8/(5x-14.44)2

I got the derivative: g'(x) = [(25x-72.7)2 - (50x-38)]/ (5x-14.44)4

How do you find the intervals for this function?

2. ## Re: Determining of the function is increasing or decreasing?

solve the numerator as equation to find the roots of g'(x) =0 then verify where the g'(x) is < 0 or >0 it is easy.

3. ## Re: Determining if the function is increasing or decreasing?

Originally Posted by bookish12
g(x) = 5x-3.8/(5x-14.44)2

I got the derivative: g'(x) = [(25x-72.7)2 - (50x-38)]/ (5x-14.44)4

How do you find the intervals for this function?
Redo your derivative. A good check on this would be to write your function as $g(x) = (5x - 3.8)(5x - 14.44)^{-2}$

-Dan