JEE Mains · Maths · STD 12 - 1. relation and function
If \(f(x)=\frac{4 x+3}{6 x-4}, x \neq \frac{2}{3}\) and \((f \circ f)(x)=g(x)\), where \(\mathrm{g}: \mathbb{R}-\left\{\frac{2}{3}\right\} \rightarrow \mathbb{R}-\left\{\frac{2}{3}\right\}\), then \((gogog) (4)\) is equal to
- A \(-\frac{19}{20}\)
- B \(\frac{19}{20}\)
- C \(-4\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
\( f(x)=\frac{4 x+3}{6 x-4} \) \( g(x)=\frac{4\left(\frac{4 x+3}{6 x-4}\right)+3}{6\left(\frac{4 x+3}{6 x-4}\right)-4}=\frac{34 x}{34}=x \) \( g(x)=x \therefore g(g(g(4)))=4\)
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