The function f4 defined by

Question

The function f4 defined by (A) one-one only (B) onto only (C) bijective (D) many-one

Tardigrade Admin · Accepted Answer

Since, distinct elements of X1 have distinct images in X4 and every element in X4 has a unique pre image in X1. ∴ The function f4 is both one-one and onto. arrow f4 is bijective.

Q. The function $f_{4}$ defined by

one-one only

onto only

bijective

many-one

Since, distinct elements of $X_{1}$ have distinct images in $X_{4}$ and every element in $X_{4}$ has a unique pre image in $X_{1}$ .
$∴$ The function $f_{4}$ is both one-one and onto.
$\to f_{4}$ is bijective.

Q. The function f4​ defined by