In which of the following function is onto : - Vidyadip

MCQ

In which of the following function is onto :

A
$f: Z \rightarrow Z$,$
f(x)=|x|
$
B
$f: N \rightarrow N$,$
f(x)=|x|
$
✓
$f: R _0 \rightarrow R ^{+}, \quad f(x)=|x|$
D
$f: C \rightarrow R$,$
f(x)=|x|
$

✓

Answer

Correct option: C.

$f: R _0 \rightarrow R ^{+}, \quad f(x)=|x|$

(C) $f: R _0 \rightarrow R ^{+}, \quad f(x)=|x|$
$\because$ Every positive real number has exist the pre-image in domain $R _0$.

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