Let `Y = {n^2 : n in N} sub N` Consider `f : N rarr Y` as `f (n) = n^2` Show that f is invertible. Find the inverse of f.

Consider f : R rarr R given by the following. Show that 'f' is invertible. Find the inverse of 'f'. F(x) = 5x+2

Consider f : R rarr R given by the following. Show that 'f' is invertible. Find the inverse of 'f'. F(x) = 4x+3

Let f : WrarrW , be defined as f (n) = n – 1 , if n is odd and f (n) = n + 1 , if n is even. Show that f is invertible. Find the inverse of f . Here, W is the set of all whole numbers.

Let f : W to W be defined as f(n) =n-1 , if n is odd and f(n) = n+1 , if n is even. Show that f is invertible. Find the inverse of f. Here, W is the set of all whole numbers.

Let f : N rarr N be a function deifned by f(x) = 9x^2 + 6x - 5 . Show that f : N rarr S , where S is the range of 'f', is invertible. Find the inverse of 'f' and hence, find f^-1(43) and f^-1(163)

Let f:NrarrY, be a function defined as f(x) = 4x+3 , where, Y = {y in N: y = 4x + 3 for some x in N }. Show that f is invertible. Find the inverse.

Let f: Nrar R be a function defined as : f(x) = 4x^2 + 12 x + 15 . Show that f: N rarr S where S is Range f is invertible. Find the invere of 'f'.

Let N rarr N be defined by f (x) = 3x. Show that f is not an onto function.

Let f : X rarr Y be an invertible function. Show that f has unique inverse.

Let f : N to N : f(x) =2 x for all x in N Show that f is one -one and into.