find-the-range-of-f-x-1-2x-1-

Question Number 32489 by NECx last updated on 26/Mar/18

f i n d t h e r a n g e o f f (x) = 1 + \sqrt{2 x - 1}

Commented by prof Abdo imad last updated on 28/Mar/18

D_{f} = [\frac{1}{2}, + \infty [a n d f^{^{'}} (x) = \frac{1}{\sqrt{2 x - 1}} > 0 o n] \frac{1}{2}, + \infty [

{l i m}_{x \to + \infty} f (x) = + \infty a n d

f ([\frac{1}{2}, + \infty [= [f (\frac{1}{2}) \bar{,} + \infty [= [1, + \infty [.

Answered by MJS last updated on 26/Mar/18

domain : x \in R \land x ≧ \frac{1}{2}

range : x \in R \land x ≧ 1

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