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Question Number 24821 by NECx last updated on 26/Nov/17

D r a w t h e g r a p h o f t h e f u n c t i o n

(\frac{f}{g}) (x) i f f, g : R \to R a r e g i v e n b y

f (x) = 2 x - 1, g (x) = x + 1 . F i n d t h e

d o m a i n a n d t h e r a n g e o f (\frac{f}{g}) (x)

Answered by mrW1 last updated on 27/Nov/17

h (x) = \frac{f (x)}{g (x)} = \frac{2 x - 1}{x + 1} = \frac{2 x + 2 - 3}{x + 1} = 2 - \frac{3}{x + 1}

D o m a i n : x \in (- \infty, - 1) a n d (- 1, + \infty)

R a n g e : (- \infty, 2) a n d (2, + \infty)

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