State whether the function is one-one, onto or bijective. Justify your answer f : R → R defined by f(x) = 3 – 4x

In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer.(i) f : R->R , defined by f (x) = 3 4x (ii) f : R->R , defined by f(x) =1+x^2

Show that the function f:RtoR:f(x)=3-4x is one-one onto and hence bijective.

Consider a function f:R rarr R defined by f(x)=x^(3)+4x+5 , then

Find whether the following functions are one-one or not. f:R-{3}toR , defined by f(x)=(5x+7)/(x-3),x inR-{3}

Find whether the following functions are one-one or not. f:RtoR , defined by f(x)=x^(3),x inR

Let f : N->N be defined by f(n)={(n+1)/2,"if n is odd " n/2,"if n is even " for all n in N . State whether the function f is bijective. Justify your answer.

State which of the following functions are one-one and why? f:R^(+)toR^(+) defined by f(x) =1+x^(2)

The set of parameter 'a' for which the functions f:R to R"defined by"f(x)=ax+sin x is bijective, is

Prove that the function f : RrarrR where R is the set of all real numbers, defined as f (x) = 3x + 4 is one-one and onto . Also find the inverse function of f.

Find whether f(x) is one-one or many-one & into or onto if f:D->R where D is its domain. f(x)=3/4x^2-cospix