If $g(f(x))=|\sin x|$ and $f(g(x))=(\sin \sqrt{x})^2$, then

If $f(x)=\frac{3 x-4}{2 x-3}$, then $f(f(f(x)))$ will be

Let $u+v+w=3, u, v, w \in \mathbb{R}$ and $f(x)=u x^2+v x+w$ be such that $f(x+y)=f(x)+f(y)+x y$, $\forall x, y \in \mathbb{R}$. Then $f(1)$ is equal to

If $f(x)$ and $g(x)$ are two polynomials such that $\phi(x)=f\left(x^3\right)+x g\left(x^3\right)$ is divisible by $x^2+x+1$, then