Question

let [x] denote the greatest integer less than or equal to x. if the domain of the function 1/[x]²-7[x]+12 is R-[a,b), then the value of a+b is​

Answer 1

Answer:

We have, f(x)=[[x]1]

Domain =R−{f(x)=0}

Now, f(x) will be zero, when [x] = 0

⇒x∈[0,1)

∴ Domain of f(x)=R−(0,1]

and range of f(x)={−1,0,1}