Show that `f: R_(+) rarrR_(+), f(x) =1/x` is one to one and onto function.

Show that f: R rarr R , f(x) = x/(x^(2)+1) is not one one and onto function.

Show that the function f : R rarr R , defined by f(x) =1/x is one - one and onto , where R is the set of all non - zero real number . is the result true, if the domain R is replaced by N with co-domain being same as R ?

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

Show that f : [-1,1] rarr R , given by f(x) = (x)/(x+2) is one - one . Find the inverse of the function f:[-1,1] rarr Range f. (Hint: For y in Range f,y=f(x) = x/(x+2) , for some x in [-1,1] , i.e., x = (2y)/(1-y) ).

For functions f: A rarr B and g : B rarr A , gof = I_A . Prove that f is one one and g onto functions .

f: [2,oo) rarr y, f(x) = x^(2)-4x +5 is a one and Onto function . If y in[a,oo) then the value of a is .........

Show that the function f: R rarr R , defined as f(x) = x^2 , is neither one-one nor onto.

Show that the function f : R rarr {x inR:-1lt x lt1} defined by f(x) =x/(1+|x|),x in R is one one and onto function.

f:NxxNrarrN , f("(m,n)")=m+n . If f one one and onto ?