If $$f: R \rightarrow R$$ and $$g: R \rightarrow R$$ are two functions defined by $$f(x)=a x+b(a \neq 0), \forall x \in R$$ and $$g(x)=c x^3+d(c \neq 0), \forall x \in R$$, then $$(f \circ g)^{-1}(x)$$ is equal to

If $$f(10-x)=3 x^2+4 x-5$$ and $$f(x)=p x^2+q x+r$$, then $$p+q+r$$ is equal to

$$f(x)=\sin x+\cos x \cdot g(x)=x^2-1$$, then $$g(f(x))$$ is invertible if

If $$f: z \rightarrow z$$ is defined by $$f(x)=x^9-11 x^8-2 x^7+22 x^6+x^4 -12 x^3+11 x^2+x-3, \forall x \in z$$, then $$f(11)$$ is equal to