If $f(x)=\frac{1}{1-x}(x≠1)$, th

CUET Preparation Today

Start Free Mocks

Home Questions 3V64DM2RUE

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $f(x)=\frac{1}{1-x}(x≠1)$, then $f(f(f(x)))$ is

Options:

a constant function

equal to f(x)

an identity function

none of these

Correct Answer:

an identity function

Explanation:

$f(x)=\frac{1}{1-x}, f(f(x))=\frac{x-1}{x}$ and $f(f(f(x)))=x$