Question

What is the domain of f(x) = $\frac{1}{\sqrt[]{x-[x]} }$ ?

Answer 1

Answer:

R-I

Step-by-step explanation:

For f(x) to be defined the quantity inside the root must be >0

==> x - [x] >0

Then x>[x]

x = [x] + {x}

[x] + {x} >[x]

Or {x} >0

So 0<={x}<1

Therefore, 1/{x} is only defined when

{x} > 0 or x not in Integers, since if {x} = 0, x element of I

So Domain = R-I