Find the domain of the function fx - -x2 - 3-

The correct option is E All real numbers x^2+3 gt; 0 #10;substract 3 from both sides. #10; x^2 gt; 3 which is always true for all re ...

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Standard XII

Mathematics

Definition of Functions

Find the doma...

Question

Find the domain of the function $f (x) = \sqrt{x^{2} + 3}$ .

- 1.73 \leq x \leq 1.73

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- 1.32 \leq x \leq 1.32

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x > 1.32

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x > 1.73

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All real numbers

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Solution

The correct option is E All real numbers
$x^{2} + 3 > 0$
substract $3$ from both sides.
$x^{2} > - 3$
which is always true for all real numbers.

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Q. In real number system, find the domain of the function

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(ii) $f (x) = \frac{1}{\sqrt{x^{2} - 1}}$
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Q. 1.32 lies between which two numbers?

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Find the domain of the function f(x)=√x2+3.

The correct option is E All real numbersx2+3>0 substract 3 from both sides. x2>−3which is always true for all real numbers.

Find the domain of the function $f (x) = \sqrt{x^{2} + 3}$ .

The correct option is E All real numbers
$x^{2} + 3 > 0$
substract $3$ from both sides.
$x^{2} > - 3$
which is always true for all real numbers.