WBJEE · Maths · Functions
If \(f(x)=\frac{3 x-4}{2 x-3}\), then \(f(f(f(x)))\) will be
- A x
- B \(2 x\)
- C \(\frac{2 x-3}{3 x-4}\)
- D \(\frac{3 x-4}{2 x-3}\)
Answer & Solution
Correct Answer
(D) \(\frac{3 x-4}{2 x-3}\)
Step-by-step Solution
Detailed explanation
\(f(x)=\frac{3 x-4}{2 x-3}\) \(\begin{aligned} f(f(f(x))) & =f\left(f\left(\frac{3 x-4}{2 x-3}\right)\right) \\ & =f\left(\frac{3\left(\frac{3 x-4}{2 x-3}\right)-4}{2\left(\frac{3 x-4}{2 x-3}\right)-3}\right)=f(x) \end{aligned}\)
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