Let `f : R rarr R` be defined as `f(x)=2x+3`. Show that f is invertible and find `f^-1 : R rarr R`.

If f : R rarr R be defined by f(x)=|x| , show that fof=f

Let f : R rarr R be defined as f(x)=x^3+2 . Show that f^-1 : R rarr R exists and hence find the formula for f^-1 .

Let f: R to R be a function defined by f(x)=5x+7 Show that f is invertible. Find the inverse of f.

Show that f : [0,1]rarr]0,1] defined by f(x)=1/(x^2+1) is invertible and find f^-1(x) .

A function f : R rarr R is defined as f(x)=10x+7 for all x in R . Find the function g : R rarr R such that gof=fog=I_R .

Let f : W rarr W be defined as f(n)={(n-1, n is odd),(n+1, nis even):} Show that f is invertible such that f^-1=f

If f:RrarrR defined by f(x)=(3x+5)/2 is an invertible function, then find f^(-1)

Show that the function f : R rarr R defined by f(x)=x^2+4 is not invertible.

Consider d : R to R given by f (x) = 4x + 3. Show that f is invertible . Also , find the inverse of f.

Prove that f : R rarr R, f(x)=4x-5 is invertible and find f^-1(x) .