F(x) = x/ (x^2 + 4x - 21)
how do i find the domain and range?

Step-by-step explanation:

F(x) = x/ (x^2 + 4x - 21)

F(x)= x / (x - 3)(x + 7)

When x = 3 and x = -7 the denominator is zero  so there are no values of the function corresponding to these values of x.

The domain is all Real x except x = -7 and x = 3.

The range is all values of f(x) except for those values when x = -7 and x = 3.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.