Show that `f : R-{a} rarr R-{-1}` defined by `f(x)= (a+x)/(a-x)` is invertible. Find the formula for `f^-1(x)`.

Show that f : [1,2] rarr[0,1] defined by f(x)= sqrt(4x-x^2-3) is invertible. Hence find the formula for f^-1(x) .

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

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

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

If f : R-{-1} rarr R-{1} be defined by f(x)= (x-1)/(x+1) , verify that fof^-1 is an identity function.

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 the function f : R rarr R , defined by f(x)=|x| is neither one-one nor onto.

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

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 .

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