Answer:
No, the inverse function does not pass the vertical line test.
Step-by-step explanation:
Remember that . To find the inverse of our function we are going to invert x and y and solve for y:
Now we can graph our function an perform the vertical line test (check the attached picture).
Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.
As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.
We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.
