Question

Select the correct answer from given alternatives

The domain of `1/([x] - x)` where [x] is greatest integer function is

Options

• R

• Z

• R − Z

• Q - {o}

Answer 1

R − Z

Explanation;

f(x) = `1/([x]-x)=1/(-{x})`

For f to be defined, {x} ≠ 0

∴ x cannot be an integer.

∴ Domain = R – Z