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 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 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 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 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

Consider f:RtoR given by f(x)=5x+2 Show that f is one-one.

Prove that the function f: R rarr R given by f(x)=2 x is one-one and onto.

Consider the functions f(x)=sinx and g(x)=x^3 Find fog(x)

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.