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Which of the following functions from $Z$ into $Z$ are bijectives? |
$f(x)=x^3$ $f(x)=x+2$ $f(x)=2x+1$ $f(x)=x^2+1$ |
$f(x)=x+2$ |
The correct answer is Option (2) → $f(x)=x+2$ ## Here, $f(x)=x+2$ Let $f(x_1)=f(x_2)$ $⇒x_1+2=x_2+2$ $⇒x_1=x_2$ Let $y=x+2$ then, $x=y-2∈Z\,∀\,y∈Z$ |
