Hi everyone, I really don't know how to solve this problem. Please help me or give me some ideas to solve it. Thank you very much.

Given f(x) = 2x + ln x. Suppose f(x) has the inverse f^-1(x) on D=[1,infinity). Find f^-1(2)

Printable View

- February 17th 2014, 06:40 AMmath88The inverse of f(x)
Hi everyone, I really don't know how to solve this problem. Please help me or give me some ideas to solve it. Thank you very much.

Given f(x) = 2x + ln x. Suppose f(x) has the inverse f^-1(x) on D=[1,infinity). Find f^-1(2) - February 17th 2014, 06:49 AMProve ItRe: The inverse of f(x)
First of all, is the function one to one on the domain given? This is necessary to ensure that the inverse is a function.

Then to find the inverse, swap the x and y and solve to get y = ... - February 17th 2014, 07:09 AMPlatoRe: The inverse of f(x)
- February 17th 2014, 08:01 AMmath88Re: The inverse of f(x)
I don't understand why f(x)=2=2x+ln(x)

I can't find the inverse of f(x) because I can't solve for x (x=g(y)). - February 17th 2014, 08:14 AMPlatoRe: The inverse of f(x)