To determine the inverse of switch x and y and solve for y.
Inverse: y= Result:Yes, the inverse is a function.
Practice makes perfect
We will begin by finding the inverse of y. To do so, we need to switch x and y and solve for y.
y=2 x^3+10 → x=2 y^3+10
The resulting equation will be the inverse of the given function.
Now that we found the inverse of y, we will determine whether the inverse is a function. Let's recall that a function is a relation where each input is related to exactly one output. In this case, for each x, there is only one value of y. Therefore, the inverse is a function.
