Question

Let $f:R\to R$ be a function defined by $f\left(x\right)=(1-x{)}^{\frac{1}{3}}$ is :

• A. one-one and onto
• B. many one and onto
• C. one-one and into
• D. many one and into

Answer 1

The correct option is A one-one and onto

$f\left(x\right)=(1-x{)}^{1/3}$

$f:R\to R$

So f(x) is one-one and onto.

Thus bijective funtion.