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mario62 [17]
2 years ago
6

Could anyone help out? It's 11pm and I have finals tmrw :/

Mathematics
1 answer:
Sliva [168]2 years ago
7 0

There i hope it help

Stay safe and study hard

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For the function f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Bx%7D%20%7D%7B5%7D%20%2B2" id="TexFormula1" title="\f
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Answer:

f^{-1}(x)=25(x-2)^2

Step-by-step explanation:

The inverse function can be found by solving ...

  f(y) = x

  (√y)/5 +2 = x

  (√y)/5 = x -2 . . . . . subtract 2

  √y = 5(x -2) . . . . . . multiply by 5

  y = 25(x -2)² . . . . . square both sides

The inverse function is ...

  f^{-1}(x)=25(x-2)^2

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<em>About the graph</em>

The inverse of a function is its mirror image across the line y = x.

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