SOLUTION: Given f(x)=x^2-4, find f^-1(x) and determine necessary restriction so that f^-1(x) is a function

SOLUTION: Given f(x)=x^2-4, find f^-1(x) and determine necessary restriction so that f^-1(x) is a function

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Question 881391: Given f(x)=x^2-4, find f^-1(x) and determine necessary restriction so that f^-1(x) is a function
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use , notation.

Interchange x and y and solve for y.
This new y is the inverse.

In order for y to be a function, since the square root is only defined for non-negative values.

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