TS EAMCET · Maths · Functions
Let \(x \neq 0,|x| < \frac{1}{2}\) and \(f(x)=1+2 x+4 x^2+8 x^3+\ldots\) Then, \(f^{-1}(x)=\)
- A \(\frac{x-1}{2 x}\)
- B \(\frac{x-1}{2}\)
- C \(\frac{x-1}{x}\)
- D \(1-2 x\)
Answer & Solution
Correct Answer
(A) \(\frac{x-1}{2 x}\)
Step-by-step Solution
Detailed explanation
We have, \[ f(x)=1+2 x+4 x^2+8 x^3+\ldots \text { and }|x| < \frac{1}{2} \] Let \(f(x)=y\)…
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