Given the function , where m ≠ 0 and n ≠ 0 are constants.

a. prove that g is monotonic

b. show that the x-coordinate(s) of the location(s) of any critical points are independent of m and n.

i know that you need to first derivative, which is , and that an equation is monotonic if the derivative doesn't change sign. i know that f(g) contiguously decreases, but i'm not sure how to prove it.

and for the second part i got the only location independent of m and n is when x = 1