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amit yadav Grade: Upto college level
        

Hi everyone....solve this !!!


find the range and domain of the function f(x) = (2x+1)/(x-1) and also find its inverse.

8 years ago

Answers : (1)

Vijay Luxmi Askiitiansexpert
357 Points
										

This function is not defined for x = 1. So, domain of the function is

R -{1}.



Now, for finding the range



Let,(2x+3)/(x-1) = y



        => 2x + 3 = yx - y



        => yx - 2x = y + 3



        => (y - 2)x = y + 3



        => x =(y+3)/(t-2)



So, y cannot assume value 2



Range of f(x) is R - {2}.



Inverse is y =(x+3/x-2) .



8 years ago
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