If f:`RrarrR` be defined by `f(x)=2x-3`and `g:RrarrR` be defined by `g(x)=(x+3)/2`.Show that `fog=I_R=gof`

If f:RrarrR is defined by f(x) = x^2-3x+2 , find f(f(x))

A fuction f:RrarrR defined by f(x)=(2x-3)/7 . Find f^-1

Consider the following functions. f:ZrarrZ defined by f(x)=3x+7 and g:RrarrR defind by g(x)=2x-3 . Of the above two functions one is a bijective function and the other is not.Give reason.

If f:RrarrR is given by f(x)=3x-1 , g:RrarrR is given by g(x)=2x ,show that fog-gof=1 .

If the following f:RrarrR is given by f(x)=(x+3)/3 and g:RrarrR is given by g(x)=2x-3 .Find gof

If the following f:RrarrR is given by f(x)=(x+3)/3 and g:RrarrR is given by g(x)=2x-3.Find fog

If the following f:RrarrR is given by f(x)=(x+3)/3 and g:RrarrR is given by g(x)=2x-3 .Is f^(-1)=g

If f: RrarrR be defined by f(x)=3x+2.Show that f is invertible.Find f^-1:RrarrR .Hence find f^-1(3) and f^-1(0)

A fuction f:RrarrR defined by f(x)=(2x-3)/7 .Is f a one-one function?Why?