Give examples of two surjective function `f_1a n df_2` from `ZtoZ` such that `f_1+f_2` is not surjective.

Give examples of two surjective function f_(1) and f_(2) from Z to Z such that f_(1)+f_(2) is not surjective.

Give examples of two one-one functions f_(1) and f_(2) from R to R such that f_(1)+f_(2):R rarr R , defined by (f_(1)+f_(2))(x)=f_(1)(x)+f_(2)(x) is not one-one.

Given examples of two one-one functions f_(1) and f_(2) from R to R such that f_(1)+f_(2):R rarr R, defined by (f_(1)+f_(2))(x)=f_(1)(x)+f_(2)(x) is not one- one.

Give examples of two one-one functions f_(1)andf_(2) from R to R such that f_(1)+f_(2):RrarR defined by : (f_(1)+f_(2))(x)=f_(1)(x)+f_(2)(x) is not one-one.

Statement 1: For a continuous surjective function f:Rvec R,f(x) can never be a periodic function.Statement 2: For a surjective function f:Rvec R,f(x) to be periodic,it should necessarily be a discontinuous function.

Let R be the set of real numbers.If f:R rarr R is a function defined by f(x)=x^(2), then f is injective but not surjective surjective but not injective but not surjective surjective but not but not surjective (b) surjective but not injective (c) bijective (d) non of these

Let A}x:-1<=x<=1} and f:A rarr such that f(x)=x|x|, then f is a bijection (b) injective but not surjective Surjective but not injective (d) neither injective nor surjective

Let f:[-00,0)->(1, oo ) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) then f(x) is (A) injective but not surjective (B) injective as well as surjective (C) neither injective nor surjective (D) surjective nut not injective

Let S be the set of all triangles and R^+ be the set of positive real numbers. Then the function f: SrarrR^+,f(Delta)=a r e aof Delta ,w h e r e in S , is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

Let f : R->R & f(x)=x/(1+|x|) Then f(x) is (1) injective but not surjective (2) surjective but not injective (3) injective as well as surjective (4) neither injective nor surjective