What is the domain of the function graphed below

D = { x ∈ R - {-2, 1}}

Explanation:

The domain of a function f(x) is the set of all the possible values of x that we can input in our function.

For this particular function, we can see two divergences (meaning that there are two values of x where the function goes to infinity)

Those values, that in the graph are signalized with a dotted red line, are:

x = 1 and x = -2

(you need to count the squares, each square is 1 unit)

So this two values give problems to our function, this means that those values do not belong in the domain of our function.

Then the domain of our function is the set of all the real numbers except the numbers x = -2 and x = 1.

We can write this as:

D = { x ∈ R - {-2, 1}}

there says " x belongs to the set of all the real numbers minus the set of -2 and 1"