Find-the-domain-and-range-of-f-x-x-5-x-3-

Question Number 25279 by NECx last updated on 07/Dec/17

F i n d t h e d o m a i n a n d r a n g e o f

f (x) = \sqrt{(\frac{x - 5}{x - 3})}

Answered by SAGARSTARK last updated on 07/Dec/17

(\frac{x - 5}{x - 3}) ⩾ 0 x \in (- \infty, 3) \cup [5, \infty) u s i n g

w a v y c u r v e m e t h o d

Commented by Rasheed.Sindhi last updated on 08/Dec/17

And what about range ?

Commented by NECx last updated on 08/Dec/17

t h a n k s . H o w a b o u t t h e r a n g e ?

Answered by jota+ last updated on 08/Dec/17

D o m f (x) = (- \infty 3) \cup [5 + \infty)

i f y = f (x) t h e n

x = \frac{3 y^{2} - 5}{y^{2} - 1} a n d y ⩾ 0

R a n f (x) = {0} \cup R^{+} - {1}

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