Question

let f be a function defined for all real numbers x.
If f'(x) =( the abs val of 4-x^2)/(x-2) then f is decreasing on what interval?

a. (-infinity, 2)
b. (-infinity, infinity)
c. (-2, 4)
d. (2, infinity)

Answer 1

this question is asking "for what values of x is
\[\frac{|4-x^2|}{x-2}\] negative

Answer 2

it is negative on
\[(-\infty,2)\]

Answer 3

Thanks!