`f:R^+ -> R^+` defined by `f(x) =1+2x^2`, this function is one-one?

f:R rarr R defined by f(x)=3x+2 this function is one-one?

A function f:R to R is defined by f(x)=2x^(2) . Is the function f one - one and onto ? Justify your answer.

Prove that the function f: R rarr R defined by f(x) = 2x + 5 is one-one.

Show that the function f: R to R defined by f(x)=2x^(2) , is neither one - one onto.

Show that the function f: R rarr R defined by f(x) = (3x-1)/2, x in R is one-one and onto function.

A function f: R rarr R be defined by f(x) = 5x+6. prove that f is one-one and onto.

Show that the function f : R rarr {x in R : -1 < x < 1} defined by f(x) = x/(|x|), x in R is one-one function.

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 R defined by f(x) = ((2x-1)/3) : x in R is one-one and onto. Also find the inverse of 'f'.

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