Domain of function f(x) = frac{{{x^2} - 3x + 2}}{{{x^2} + x - 6}} is

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1.Relation and Function

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Domain of the function $f(x) = \frac{{{x^2} - 3x + 2}}{{{x^2} + x - 6}}$ is

A

$\{ x:x \in R,\;\;x \ne 3\} $

B

$\{ x:x \in R,\;\;x \ne 2\} $

C

$\{ x:x \in R\} $

D

$\{ x:x \in R,\;\;x \ne 2,\;x \ne - 3\} $

Solution

(d) $f(x) = \frac{{(x – 2)\,(x – 1)}}{{(x – 2)\,(x + 3)}}$

Hence domain is $\left\{ {x\,\,:\,\,x \in R,\,\,x \ne 2,\,\,x \ne – 3} \right\}$.

Standard 12

Mathematics

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