Question

The graph shown here is the graph of which of the following rational functions A.F(x) =1/(x-1)(x+1) B. F(x) x+1 / (x+1) C. x-1/x+1

Answer 1

The option (A) represents the graph of a function option (A) is correct because x = 1 and x = -1 the function does not exist.

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 graph shown in the picture.

As we can see in the graph:

At x = 1 the function does not exist.

At x = -1 the function does not exist.

So, the function will be:

$\rm f(x) =\dfrac{1}{\left(x-1\right)\left(x+1\right)}$

Thus, the option (A) represents the graph of a function option (A) is correct because x = 1 and x = -1 the function does not exist.

Learn more about the function here:

brainly.com/question/5245372

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