Find the domain of the function defined by f x -2-3x2-1

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Definition of Functions

Find the doma...

Question

Find the domain of the function defined by
$f (x) = \frac{2}{3 x^{2} + 1}$

R-{1}

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R-{-1}

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R-{0}

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Solution

The correct option is C R
The domain of the function is the value at which the function has a possible value of range.
Here, the function can give a possible value only when denominator $\neq 0$
Since the denominator is a sum of a positive number and a square of the variable, the denominator is never $0$ . Hence, domain is all possible real values $R$

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Find the domain of the function defined byf(x)=23x2+1

Find the domain of the function defined by
$f (x) = \frac{2}{3 x^{2} + 1}$