Find the inverse, picture below!

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07-06-2022
Mathematics

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Find the inverse, picture below!

Sagot :

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loneguy loneguy · Answer 1 · 2022-06-07T11:13:45-04:00

loneguy loneguy

07-06-2022

Answer:

[tex]f^{-1}(x) = (x+7)^2[/tex]

Step-by-step explanation:

[tex]y=f(x) = \sqrt x - 7 \\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~~x= \sqrt y -7\\\\\implies \sqrt y = x+7\\\\\implies y = (x+7)^2\\\\\implies f^{-1}(x) = (x+7)^2[/tex]

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