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