Write the domain and range of f(x) = √(x-[x]) – InterviewSolution

InterviewSolution

1.

Write the domain and range of f(x) = √(x-[x])

Answer»

Given,

f(x) = √(x-[x])

For f(x) to be defined,

x-[x]≥0

We know that,

{x} + {x} = x

Where {x} is fractional part function and [x] is greatest integer function.

{x}≥0

Also,

0 ≤ {x} < 1

Therefore,

D(f) = R and range = [0, 1)

Discussion

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