Question

The function $f:R-R,2x^3-7$ for all $x$ belongs to $R$ is bijection.

• A. True
• B. False

Answer 1

The correct option is A True

$f:R\to R,2x^2-7\forall x\in R$

For each values of $x$ there is a unique value of $f$ and no $x\in R$is left and $f\in R$ which do not have a image and preimage respectively.

$\Rightarrow f$ is one-one.

$\Rightarrow f$ is onto.

$\Rightarrow f$ is bijective.