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

JEE MATHEMATICS MCQ: FUNCTIONS

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Domain of the function

f(x)=\frac{x^{2}-3 x+2}{x^{2}+x-6}

View answer and explanation

Correct option: D

\{x: x \in R, x \neq 2, x \neq-3\}

Option D (

\\{x: x \in R, x \neq 2, x \neq-3\\}

) is correct because the denominator cannot be zero, so

x^2 + x - 6 \neq 0

, which means

(x-2)(x+3) \neq 0

, so

x \neq 2

and

x \neq -3

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