# Another JEE Mains problem

Algebra Level 5

If the domain of

$$\huge{f(x)=\frac{1}{\sqrt{\{x+1\}-x^{2}+2x}}}$$

where $$\{.\}$$ denotes fractional part.

is $$(\frac{a-\sqrt{b}}{c},c)-\{d\}$$

(where $$a,b,c,d$$ are co prime integer and {d} does not mean fractional part of $$d$$)

Find $$a+b+c+d$$

×