Question:medium

If \( f(x)=\frac{3x-4{2x-3} \), then \( f(f(f(x))) \) will be:}

Show Hint

For Möbius functions: Solve inverse explicitly. Check if \( f=f^{-1} \).

Updated On: Mar 2, 2026

\( x \)
\( 2x \)
\( \frac{2x-3}{3x-4} \)
\( \frac{3x-4}{2x-3} \)

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

0

Questions Asked in WBJEE JENPAS UG exam

The value of \[ \int_{-100}^{100} \frac{x+x^3+x^5}{1+x^2+x^4+x^6}\,dx \] is:

WBJEE JENPAS UG - 2026
Mathematical Reasoning

Let \( f(x)=x^3,\; x\in[-1,1] \). Then which of the following are correct?

WBJEE JENPAS UG - 2026
Mathematical Reasoning

Let \( f:[0,1]\to\mathbb{R} \) and \( g:[0,1]\to\mathbb{R} \) be defined as: \[ f(x)= \begin{cases} 1, & x \text{ rational}\\ 0, & x \text{ irrational} \end{cases} \quad g(x)= \begin{cases} 0, & x \text{ rational}\\ 1, & x \text{ irrational} \end{cases} \] Then:

WBJEE JENPAS UG - 2026
Mathematical Reasoning

Let \( f(x) \) be continuous on \( [0,5] \) and differentiable in \( (0,5) \). If \( f(0)=0 \) and \( |f'(x)| \le \frac{1{5} \) for all \( x \in (0,5) \), then \( \forall x \in [0,5] \):}

WBJEE JENPAS UG - 2026
Mathematical Reasoning