Question

What is the inverse function of y=x^2+4

Answer 1

does not exist

Explanation:

The inverse relation is found by swapping x and y, then solving for y.

x = y^2 +4

x -4 = y^2

y = ±√(x -4)

This is the inverse relation. Since it is double-valued, it is not a function.

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The function given does not pass the horizontal line test, so there is no inverse function.