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 .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 .Is f^(-1)=g

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

Consider the function f:[0,pi/2]rarrR given by f(x)=sinx and g:[0,pi/2]rarrR given by g(x)=cosx . Is f+g one-one?Why?

Consider the function f:[0,pi/2]rarrR given by f(x)=sinx and g:[0,pi/2]rarrR given by g(x)=cosx . Show that f and g are one-one functions.

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

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

Consider a function f : [0, pi/2] rarr R given by f(x) = sin x and g : [0, pi/2] rarr R given by g(x) = cos x. Show that f and g are one-one, but f + g is not one-one.

Show that the function f:RrarrR given by f(x)=x+x^3 is a bijective function.