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Definition of Functions

If domain of ...

Question

If domain of $f$ is $D_{1}$ and domain of $g$ is $D_{2}$ then domain of $f + g$ is :

(D_{1} / D_{2})

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D_{1} - (D_{1} / D_{2})

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D_{2} / (D_{2} / D_{1})

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D_{1} \cap D_{2}

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Solution

The correct option is D $D_{1} \cap D_{2}$
$Domain off is D_{1}$

$Domain of g is D_{2}$

Let $Q = f + g$

Domain of $Q$ is : where $f$ and $g$ both are define.

There fore domain of $Q$ is $D_{1} \cap D_{2}$

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