Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

if f(x) = $\frac{1}{x} - 1$ , then f(f(1/x)) is

Options:

\[\frac{2-x}{x-1}\]

\[\frac{x-1}{x}\]

\[\frac{1-x}{x}\]

1-x

Correct Answer:

\[\frac{2-x}{x-1}\]

Explanation:

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

$f(f(\frac{1}{x})) = \frac{1}{x-1} - 1 = \frac{2-x}{x-1}$