21.5k views
4 votes
H(x) = x2 + 3. Is h-1 a function and why/why not?

User Ram Babu
by
8.0k points

2 Answers

0 votes
i dont really know how to do thisĀ 
User Double M
by
7.8k points
6 votes

Answer:

No, the inverse does not pass the vertical line test

Explanation:

Taking the inverse of an equation is fairly simple. Flip the x and y variables, and solve for y. When we do this, we get Y = root(x-3). Now, every time you take the square root of something, note that there are two possibilities (because of the plus/minus sign). This means that every value of x will result in two different answers because there are calculations of two values of y for one value of x. Then, one input will have two different outputs.

User MatDobek
by
9.8k points