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Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions2 Marks
Question
Find the domain of the function $f(x) = \frac{{{x^2} + 2x + 1}}{{{x^2} - 8x + 12}}$.
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Answer

Here $f(x) = \frac{{{x^2} + 2x + 1}}{{{x^2} - 8x + 12}}$
f (x) is a rational function of x.
f (x) assumes real values of all x except for those values of x for which
x2 - 8x + 12 = 0
$ \Rightarrow $ (x - 6)(x - 2) = 0
$ \Rightarrow $ x = 2, 6
$\therefore $ Domain of function = R - {2, 6}.

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