Another JEE Mains problem

Algebra Level 5

\[\large {f(x)=\frac{1}{\sqrt{\{x+1\}-x^{2}+2x}}}\]

If the domain of \(f(x)\) above, where \(\{x+1\}\) denotes the fractional part of \(x+1\), can be expressed as \(\left(\dfrac{a-\sqrt{b}}{c},c \right)\backslash \{d\}\), where \(a\), \(b\), \(c\), and \(d\) are coprime integers and \(\backslash \{d\}\) denotes excluding the value \(d\), find \(a+b+c+d\).

×

Problem Loading...

Note Loading...

Set Loading...