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Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsFunctions2 Marks
Question
If $f : R \rightarrow R$ is defined by $f(x) = x^2$, write $f^{-1}(25).$
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Answer

Let $f^{-1}(25) = x ....(1)$
$\Rightarrow f(x) = 25$
$\Rightarrow x^2 = 25$
$\Rightarrow x^2 - 25 = 0$
$\Rightarrow (x - 5)(x + 5) = 0$
$\Rightarrow\ \text{x}=\pm5$
$\Rightarrow f^{-1}(25) = {-5, 5}$ [from $(1)$]

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