GO Classes | IIITH PGEE 2026 | Memory Based | Question: 29

If $f(x)=x^2-3x+2$, find $x$ for which $f(f(x))=0$.$x=0,3,\frac{3+\sqrt{5}}{2},\frac{3-\sqrt{5}}{2}$ $x=1,2,\frac{3+\sqrt{5}}{2},\frac{3-\sqrt{5}}{2}$ $x=0,2,\frac{3+\sqr...

Find the number of bijective functions from $\{a,b,c,d\}$ to $\{1,2,3,4\}$.$12$ $16$ $24$ $32$

If the number of elements in the power set of the power set of $N$ is $256$, find the number of elements in $N$.$2$ $3$ $4$ $8$

If $f(x)=\frac{1}{x-5}$ and $g(x)=\sqrt{x+2}$, find the domain of $f(g(x))$.$[-2,\infty)$ $(-2,23)\cup(23,\infty)$ $[-2,23)\cup(23,\infty)$ $[-2,23]\cup(23,\infty)$