Nitayah says that the inverse of y=3±√(x+2) cannot be a function because y=3±√(x+2) is not a function. Is she right? Explain.

A function is a special relationship where each input has a single output.

It is often written as "f(x)" where x is the input value.

Example: f(x) = x/2 ("f of x equals x divided by 2")
It is a function because each input "x" has a single output "x/2":
• f(2) = 1
• f(16) = 8
• f(−10) = −5

So I guess she is right!

Answer Link

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-06-11T13:27:07+02:00

Nitayah is not right because y=3±√(x+2) is not a function but inverse of it shows a function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

[tex]\rm y=3\pm \sqrt{(x+2) }[/tex]

If we draw a graph for the above function, we will get a parabolic curve.

By using a vertical line test, we get two values for a single input or the vertical line touches at two points, which shows the given function is not a function.

The inverse of a function:

[tex]\rm x=3\pm \sqrt{(y+2) }[/tex]

From the graph, by using the vertical line test on the inverse of a function, we get only one output for every input.

Thus, Nitayah is not right because y=3±√(x+2) is not a function but inverse of it shows a function.

Learn more about the function here:

brainly.com/question/5245372

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