If f : R → R is defined by f(x) = x2, write f-1(25). - Vidyadip

Question

If f : R → R is defined by f(x) = x², write f^-1(25).

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Answer

Let f^-1(25) = x ....(1)
⇒ f(x) = 25
⇒ x² = 25
⇒ x² - 25 = 0
⇒ (x - 5)(x + 5) = 0
$\Rightarrow\ \text{x}=\pm5$
⇒ f^-1(25) = {-5, 5} [from (1)]

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