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RELATIONS AND FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRELATIONS AND FUNCTIONS2 Marks
Question
If $f : R → R$ is defined by $f(x) = x^2$, write $f^{-1}(25)$.
✓

Answer

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

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