Prove that the function `f: Q->Q` given by `f(x)=2x-3` for all `x in Q` is a bijection.

Prove that the function f:Q rarr Q given by f(x)=2x-3 for all x in Q is a bijection.

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

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

Prove that the function f: Q rarr Q given by f(x)=2 x-3 for all x in Q (the set of all rational numbers) is a bijection.

Show that the function f: Z->Z defined by f(x)=x^2 for all x in Z , is a function but not bijective function.

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

Prove that the function f : R to R defined by f(x) = 3 - 4x , AA x in R is bijective.

Prove that the function f : R to R defined by f(x) = 2x , AA x in R is bijective.

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