List of top Questions asked in CBSE CLASS XII

If \(f(x)=\frac{(4x+3)}{(6x-4)}\), \(x\neq\frac{2}{3}\), show that fof(x)=x, for all \(x\neq\frac{2}{3}\). What is the inverse of f?
Let f,g and h be functions from R to R. Show that (f+g)oh=foh+goh.(f.g)oh=(foh).(goh)
Find gof and fog, if
  1. f(x)=IxI and g(x)=I5x-2I
  2. f(x)=8x3 and g(x)=x1/3

Let R be the relation in the set N given by R = {(a, b): a = b − 2, b > 6}. Choose the correct answer. (A) (2, 4) ∈ R (B) (3, 8) ∈R (C) (6, 8) ∈R (D) (8, 7) ∈ R

Show that the relation R in R defined as R = {(a, b): a ≤ b}, is reflexive and transitive but not symmetric. 

Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.  

I ______ an answer to my letter within a few days.

${AgNO_3}$ does not decompose where :