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CUET
-- Mathematics - Section B1
Relations and Functions
If the function f : R→ A given by $f(x)=\frac{x^2}{x^2+2}$ is a surjection, then A is equal to
$R$
[0, 1]
(0, 1]
[0, 1)
Range of $\frac{x^2}{x^2+2}=A⇒x^2=\frac{2A}{1-A}≥0⇒0≤A<1$