The inverse of the equation Y = 16X2 + 1 is X2 = (Y – 1) / 16.
To derive this equation from the original equation is relatively simple. The equation Y = 16X2 + 1 means that Y is equal to 16 times X squared plus one. In order to isolate X, the equation must be rearranged so that X appears on the left-hand side, with the terms containing Y on the right.
First, subtract one from each side of the equation. This yields Y – 1 = 16X2. Then divide both sides by 16 to get X2 = (Y – 1) / 16. This equation is the inverse of the original equation.
It is possible to check the answer to ensure that it is correct. Simply substitute X2 = (Y – 1) / 16 into Y = 16X2 + 1 and verify that the equation is still true. This is a quick and easy way to make sure the inverse equation is correct.
In conclusion, the inverse of the equation Y = 16X2 + 1 is X2 = (Y – 1) / 16.
What is the equation for the inverse of y = 16x^2 + 1?
The equation for the inverse of y = 16x^2 + 1 is x = √( (y – 1) / 16).
What is the inverse function of y = 16x^2 + 1?
The inverse function of y = 16x^2 + 1 is x = √(y-1)/16.
What is the domain and range of the inverse function of y = 16x^2 + 1?
The domain of the inverse function is all real numbers greater than or equal to 1/16, and the range is all real numbers.