Function: Find the range of the funtion

Homework Statement

Find the range of the function [URL=http://imageshack.us/photo/my-images/225/msp205619ffihh51bgcch8h.gif/][PLAIN]http://img225.imageshack.us/img225/5896/msp205619ffihh51bgcch8h.gif[/URL][/PLAIN].

The Attempt at a Solution

I tried to solve it but ended up with nothing. Without drawing a graph, how can i find its range? The only thing i can get is domain of f = |x| > 2 but i couldn't find the range. Can anyone help me? Thank you..

Mark44
Mentor

Homework Statement

Find the range of the function [URL=http://imageshack.us/photo/my-images/225/msp205619ffihh51bgcch8h.gif/][PLAIN]http://img225.imageshack.us/img225/5896/msp205619ffihh51bgcch8h.gif[/URL][/PLAIN].

The Attempt at a Solution

I tried to solve it but ended up with nothing. Without drawing a graph, how can i find its range? The only thing i can get is domain of f = |x| > 2 but i couldn't find the range. Can anyone help me? Thank you..

Set 2x/sqrt(x^2 - 4) to A, and solve for x. Each value of A for which there is an x value is in the range of your function.