The inverse of a function is the opposite of the function: reversing the direction of the function. In other words, the inverse of a function is the set of all ordered pairs (x,y) for which the function (y,x) is true. In the case of the equation "y = x2 + 16", the inverse equation is "x = √(y − 16)". This means that for any given value of y, the corresponding x value is the square root of (y − 16).
How to Solve for the Inverse of y = x2 + 16
To solve for the inverse of y = x2 + 16, we must take the equation and switch the x and y values. This means that the new equation will be x = √(y − 16). This equation can be solved by taking the square root of (y − 16).Example
Let's use an example to help illustrate how to solve the inverse equation. Suppose we have the equation y = x2 + 16, and we want to solve for the inverse. To do this, we must switch the x and y values, so the new equation is x = √(y − 16). To solve for x, we must take the square root of (y − 16). In this example, let’s say y = 32. So, x = √(32 − 16), which is equal to 4.Comparison of the Inverse Equations
| Equation | Inverse Equation |
|---|---|
| y = x2 + 16 | x = √(y − 16) |
Conclusion
In summary, the inverse of y = x2 + 16 is x = √(y − 16). This equation can be solved by taking the square root of (y − 16).People Also Ask:
Q: What is the inverse of y = x2 + 16? A: The inverse of y = x2 + 16 is x = √(y − 16). Q: How would I solve for the inverse? A: To solve for the inverse of y = x2 + 16, take the equation and switch the x and y values. Then, take the square root of (y − 16).Share to other apps
Which Equation Is The Inverse Of Y X2 16
