The function `f:RR rarr RR` defined by `f(x) = x(x − 2)(x-3)` is

The largest domain on which the function f: RR rarr RR defined by f(x)=x^(2) is ___

Show that , the function f: RR rarr RR defined by f(x) =x^(3)+x is bijective, here RR is the set of real numbers.

Let A=RR - {3} and B =RR-{1} . Prove that the function f: A rarr B defined by , f(x)=(x-2)/(x-3) is one-one and onto. Find a formula that defines f^(-1)

Prove that, the function f: RR rarr RR defined by f(x)=x^(3)+3x is bijective .

Let the function f:RR rarr RR be defined by f(x)=x^(2) (RR being the set of real numbers), then f is __

Prove that the function f: RR rarr RR defined by, f(x)=sin x , for all x in RR is neither one -one nor onto.

If the function f: RR rarr RR be defined by, f(x)={(x " when "x in QQ ),(1-x " when " x in QQ ):} then prove that , (f o f)=I_(RR) .

Let the function f: RR rarr RR be defined by, f(x) =x^(2), . Find (i) f^(-1) (25) , (ii) f^(-1) (5) , (iii) f^(-1) (-5)

Let the function f:RR rarr RR be defined by , f(x)=3x-2 and g(x)=3x-2 (RR being the set of real numbers), then (f o g)(x)=

Let A=RR-{2} and B=RR-{1} . Show that, the function f:A rarr B defined by f(x)=(x-3)/(x-2) is bijective .