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snow_lady [41]
2 years ago
7

Plzz helpp Find the inverse function

Mathematics
1 answer:
Vesna [10]2 years ago
8 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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 = ± \sqrt{y - 5}

x≠ - \sqrt{y - 5}

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

So ;

x =  \sqrt{y - 5}

_________________________________

{f}^{ - 1}(x)  =  \sqrt{x - 5}

Done...

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