Given below are two statements:... | Relations Functions

JEE MAIN 2026

28-01-2026 S2

Question

Given below are two statementsi Statement I: The function $f: \mathbf{R} \rightarrow \mathbf{R}$ defined by $f(x)=\frac{x}{1+|x|}$ is one-one. Statement II: The function $f: \mathbf{R} \rightarrow \mathbf{R}$ defined by $f(x)=\frac{x^2+4 x-30}{x^2-8 x+18}$ is many-one. In the light of the above statements, choose the correct answer from the options given belowi

Select the correct option:

Statement I is true but Statement II is false

Statement I is false but Statement II is true

Both Statement I and Statement II are true

Both Statement I and Statement II are false

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution