# Which equation can be simplified to find the inverse of y = 5x² + 10?

Updated on January 19, 2024

Answer: The equation that can be simplified to find the inverse is x = 5y² + 10.

## Finding the Inverse of a Function

To find the inverse of a function, you swap the x and y variables and then solve for y. For y = 5x² + 10, swapping x and y gives x = 5y² + 10. Then, solve for y to get the inverse function. Understanding how to find the inverse of a function is crucial in algebra and calculus, as it provides insights into the symmetrical relationship between operations and is fundamental in solving equations and modeling real-world phenomena.

## FAQ on Finding the Inverse of a Function

### How do you find the inverse of a linear function?

Swap x and y in the equation, then solve for y.

### What is the inverse of y = x + 3?

The inverse is y = x – 3.

### What is the inverse of y = 1/x?

The inverse is y = 1/x.