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4 votes
Find the inverse
f(x)=x^(2) +10

1 Answer

6 votes

9514 1404 393

Answer:


f^(-1)(x)=\pm√(x-10)

Explanation:

You can find the inverse of

y = f(x)

by solving for y:

x = f(y)

__

x = y² +10

x -10 = y² . . . . . . . . subtract 10

±√(x -10) = y . . . . . take the square root

The inverse relation is ...


\boxed{f^(-1)(x)=\pm√(x-10)}

__

It is not a function unless some restriction is placed on the domain of f(x).

User Mazorati
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