(EXAMPLE-31)/(Show" that function "f:Q-{3}rarr Q" defined by "f(x)=(2x+3)/(x-3)" is not bijection ")

Show that the function f:R-{3}rarr R-{1} given by f(x)=(x-2)/(x-3) is a bijection.

Show that the function f:R-{3}rarr R-{1} given by f(x)=(x-2)/(x-3) is bijection.

The function f:R rarr R is defined by f(x)=3^(-x)

the function f:R rarr R defined as f(x)=x^(3) is

Classify f:Q-{3}rarr Q ,defined by f(x)=(2x+3)/(x-3) as injection,surjection or bijection.

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 .

Show that the function f: R-{3}->R-{1} given by f(x)=(x-2)/(x-3) is a bijection.

Show that the function f: N rarr N defined by f(x)= 2x + 3 , where x in N , is not bijective.

Show that the function f:R rarr R defined by f(x)=3x^(3)+5 for all x in R is a bijection.

Show that the function f:R rarr R defined by f(x)=3x^(3)+5 for all x in R is a bijection.