List of top Mathematics Questions on Relations and functions asked in SRMJEEE

Let f : R→R, g : R→R be two given functions. Such that f is injective and g is surjective, then which of the following is injective?

Suppose the function f(x)-f(2x) has the derivative 5 at x=1 and derivative 7 at x=2.The derivative of the function f(x)-f(4x) at x=1 has the value equal to

Let \(R\) be a relation in \(N\) defined by \(R=\{(x,y): x+2y=8\\). The range of \(R\) is}