QuestionAugust 26, 2025

If f((1)/(2))=1.414 then find f^-1(1.414) (1)/(2) 1.414 sqrt (2) None of the above

If f((1)/(2))=1.414 then find f^-1(1.414) (1)/(2) 1.414 sqrt (2) None of the above
If f((1)/(2))=1.414 then find f^-1(1.414)
(1)/(2)
1.414
sqrt (2)
None of the above

Solution
4.1(264 votes)

Answer

\frac{1}{2} Explanation 1. Understand the Inverse Function If f(a) = b, then f^{-1}(b) = a. 2. Apply the Given Information Given f(\frac{1}{2}) = 1.414, it follows that f^{-1}(1.414) = \frac{1}{2}.

Explanation

1. Understand the Inverse Function<br /> If $f(a) = b$, then $f^{-1}(b) = a$.<br /><br />2. Apply the Given Information<br /> Given $f(\frac{1}{2}) = 1.414$, it follows that $f^{-1}(1.414) = \frac{1}{2}$.
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