Find-the-domain-and-range-of-a-function-for-which-f-x-1-2x-x-

Question Number 15463 by myintkhaing last updated on 10/Jun/17

F i n d t h e d o m a i n a n d r a n g e o f a f u n c t i o n f o r w h i c h f (x) = \frac{1 + 2 x}{x} .

Answered by Tinkutara last updated on 10/Jun/17

f (x) is defined \forall x \in R - {0} .

Domain = R - {0}

Let y = \frac{2 x + 1}{x}

x y = 2 x + 1

x (y - 2) = 1

x = \frac{1}{y - 2}

∴ y - 2 \neq 0 which gives y \neq 2

Hence Range = R - {2}

Commented by myintkhaing last updated on 11/Jun/17

t h a n k y o u