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Question

# If the domain of the function f is R, then which of the following will not be a real valued function ?

A
f(x)=x2
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B
f(x)=|x2|
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C
f(x)=5x7
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D
f(x)=x
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Solution

## The correct option is D f(x)=√x For real valued function, the output obtained from the function should be a real number. For f(x)=x2 For every real input this function always gives real output. It is a real valued function. For f(x)=|x−2| For every real input this function always gives real output. It is a real valued function. For f(x)=5x−7 For every real input this function always gives real output. It is a real valued function. For f(x)=√x This function gives real output only when x∈R+ When x∈R−, it won't give real output. So it is not a real valued function.

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