I need help with this question relating composite functions!

Hi there. I am new here, and apologies if this thread is in the wrong forum.

I need help with this question that I keep getting the wrong answer!

Given m(x) = 15x-2 and nm(x) = 1 / 5x, x is not equal to 0, find the function of n.

Any help is appreciated. Thanks!

Re: I need help with this question relating composite functions!

Re: I need help with this question relating composite functions!

MathJack is assuming "nm" is the product of the functions, but your title says "composition" which should be n(m(x)).

If m(x) = 15x-2 and n(m(x)) = 1 / 5x, let m(x)= y= 5x- 2 so that x= (y+2)/5. Then n(m(x))= n(y)= 1/5x= (1/5)(5/(y+2)= 1/(y+2)