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

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.

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.

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

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 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.

Find g o f and f o g , if f: R rarr R and g: R rarr R are given by f (x)=cos x and g(x)=3 x^2 . Show that gof ne f o g .