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

Prove that the function f : R rarr R, f(x)=5x^3-8 is bijective.

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

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

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

Let A=R-{3} and B=R-{1} be two given sets. Prove that the function f : A rarr B, f(x)= (x-2)/(x-3) is bijective.

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) .

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 .

Prove that f (x) = |x-1|,x in R is not differnentiable at x=1

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