Practicing Success
Practicing Success
CUET Preparation Today
Let $g(x) =1+ x −[x]$, where [.] is greatest integer function and $f(x)=\left\{\begin{matrix}-1&;&if\,x<0\\0&;&if\,x=0,then\,for\,all\\1&;&if\,x>0\end{matrix}\right.$ values of x the value of fog(x) is |
$x$ 1 $f(x)$ $g(x)$ |
1 |
$g(x) = 1 + \{x\}; f\{g(x)\} = f(1+\{x\}) = f (k) =1$ where $k = 1 + \{x\}, 1 ≤ k < 2$ |
