I need all the questions completed correctly I’m studying for a test

Mathematics

1 answer:

victus00 [196]3 years ago

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Here you go I used markup on my iPhone picture editor sorry if it looks choppy

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Help please!!!!!!!! It’s pre cal

tino4ka555 [31]

Answer:

No, the inverse function does not pass the vertical line test.

Step-by-step explanation:

Remember that $h(x)=y$ . To find the inverse of our function we are going to invert x and y and solve for y:

$h(x)=x^2+3$

$y=x^2+3$

$x=y^2+3$

$x-3=y^2$

$y=\pm\sqrt{x-3}$

$h^{-1}(x)=\pm\sqrt{x-3}$

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.