Let (*) be a binary operation, on the set of all non-zero real numbers, given by a*b for all a, b ∊ R – {0}. Write the value of x given by 2 * (x * 5) = 10.

Write the domain of the real function f defined by .

If f:R → R is defined by f(x) = 4x – 3. Find f^-1.

Check whether the relation R on R defined by R = {(a, b) : a ≤ b³} is reflexive, symmetric or transitive.

Find the number of all onto functions from the set A = {1, 2, 3, …., n} to itself.