Question

What is the domain of the function f(x) = x + 1/ x^2 - 6 + 8?

Answer 1

Hey there!

This, is the graph of your function:

Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.

Hope this helps :)

Answer 2

The domain is all values but x=4 and x=2

Explanation:

f(x) = (x+1) / ( x^2-6x+8)

Factor the function

f(x) = (x+1) / ( (x-4) ( x-2))

The domain of the function is all values of x except where the function does not exist

This is where the denominator goes to zero

(x-4) ( x-2) =0

Using the zero product property

x-4 =0 x-2 =0

x=4 x=2

The domain is all values but x=4 and x=2