Let $f: R→R$ be defined as $f(x)=5x^2.$ Choose the correct answer :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → f is neither one-one nor onto
$f(x)=5x^2$
(1) Not one one
as at $x = -1, 1$
$f(-1)=5=f(1)$ but $1≠-1$
(2) Not onto
as for $f(x) = -25$
$x^2=-5$ ⇒ no. x exists