Write the domain and range of function f(x) given by f(x) = 1/√(x-|x – InterviewSolution

InterviewSolution

1.

Write the domain and range of function f(x) given by f(x) = 1/√(x-|x|).f(x) = \(\frac{1}{\sqrt{x-|x|}}\).

Answer»

Given,

f(x) = 1/√(x-|x|)

For f(x) to be defined,

x-|x|>0

But x-|x|≤0

So,

f(x) does not exist..

Therefore,

D(f) = R(f) = ϕ

Discussion

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