Question

Plzz helpp


Find the inverse function

Answer 1

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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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