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Meehan98
 one year ago
Identify the inverse of f(x) = x^2 − 4. Determine whether it is a function and state its domain and range.
Meehan98
 one year ago
Identify the inverse of f(x) = x^2 − 4. Determine whether it is a function and state its domain and range.

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Meehan98
 one year ago
Best ResponseYou've already chosen the best response.0I know the answer to this, but I don't understand how the inverse is not a function because I did the horizontal line test on the original function and found that it WAS a function. The answer is (sq rt x+4); not a function Range is all real numbers and domain is any number greater than or equal to 4.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(x) = x²  4 is a parabola, so it doesn't pass the horizontal line test. It's not onetoone, therefore it's inverse is not a function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441919648595:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry, I did x²+4 instead of x²  4. The idea is the same, though

Meehan98
 one year ago
Best ResponseYou've already chosen the best response.0Yes, I see how x^24 is not a function but isn't \[\sqrt{x+4}\]

Meehan98
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, isn't that a function because it passes the horizontal line test.

Meehan98
 one year ago
Best ResponseYou've already chosen the best response.0Never mind, that would be something like the inverse of the inverse. I get it now! :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(y=\sqrt{x+4}\) is only the top half of the inverse. \(y=\sqrt{x+4}\) is the other half. As you can see, the original function doesn't pass the horizontal line test and the inverse (in black) doesn't pass the vertical line test. dw:1441933536504:dw
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