A function f: X arrow Y is said to be onto, if for every y ∈ Y, there exists an element x in X such that

Question

A function f: X arrow Y is said to be onto, if for every y ∈ Y, there exists an element x in X such that (A) f(x)=y (B) f(y)=x (C) f(x)+y=0 (D) f(y)+x=0

Tardigrade Admin · Accepted Answer

A function f: X arrow Y is said to be onto (or surjective), if every element of Y is the image of some element of X under f i.e., for every y ∈ Y, there exists an element x in X such that f(x)=y

Q. A function $f : X \to Y$ is said to be onto, if for every $y \in Y$ , there exists an element $x$ in $X$ such that

$f (x) = y$

$f (y) = x$

$f (x) + y = 0$

$f (y) + x = 0$

A function $f : X \to Y$ is said to be onto (or surjective), if every element of $Y$ is the image of some element of $X$ under $f$ i.e., for every $y \in Y$ , there exists an element $x$ in $X$ such that $f (x) = y$

Q. A function f:X→Y is said to be onto, if for every y∈Y, there exists an element x in X such that

f(x)=y

f(y)=x

f(x)+y=0

f(y)+x=0