Plzz helpp Find the inverse function

Question

asked Feb 7, 2021 146k views

1 Answer

Roshan Wijesena · Answer 1 · 2021-02-12T09:21:46+0000

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$f(x) = {x}^(2) + 5$

$y = {x}^(2) + 5$

${x}^(2) + 5 = y$

Subtract sides 5

${x}^(2) + 5 - 5 = y - 5$

${x}^(2) = y - 5$

x = ± √(y - 5)

x≠ - √(y - 5)

Because x is a positive number but -√y-5 is a negative number thus it's unacceptable.

So ;

x = √(y - 5)

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${f}^( - 1)(x) = √(x - 5)$

Done...

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