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Inverse of $$$y = x^{2} - 7$$$
The calculator will try to find the inverse of the function $$$y = x^{2} - 7$$$, with steps shown.
Related calculator: Inverse Function Calculator
Solution
To find the inverse function, swap $$$x$$$ and $$$y$$$, and solve the resulting equation for $$$y$$$.
This means that the inverse is the reflection of the function over the line $$$y = x$$$.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: $$$y = x^{2} - 7$$$ becomes $$$x = y^{2} - 7$$$.
Now, solve the equation $$$x = y^{2} - 7$$$ for $$$y$$$.
$$$y = \sqrt{x + 7}$$$
$$$y = - \sqrt{x + 7}$$$