Question

f(x) = (5e^x-6)/(17e^x+13) find f^-1(x). since the domain of f^-1(x) is in the open interval (a, b) what is a and and b?

Answer 1

i figured out the f^-1(x) is the ln ((-13x-6)/(17x-5)) i just need a and b plz help before 11 pm

Answer 2

For logarithmic expression, the value of u in ln u should be more than 0. So:
(13x + 6)/(5 - 17x) > 0
Use the number line to solve this, you'll get the result.
If my calculations are correct, then: (-6/13,5/17)