Question

State the domain of each of the following functions. Then, determine whether or not the excluded value(s) of xx are

vertical asymptotes on the graph of the function. Give a reason for your answer.
a. f(x) = x2 − 3x + 2 / x − 2
b. f(x) = x2 + 3x + 2 / x − 2

Answer 1

Explanation:

These funtions are a racional functions. For this kind of functions the denominator can’t be zero.

To find the domain of the first functions you have to find where the denominator is equal to zero:

This is the function: f(x)= x²-3x+2/x-2

To find when the denominator is equal to cero you have to make this:

x-2=0

x=2

then, when x=2 the denominator is 0.

The domain of this function is x≠2. Real numbers except 2.

For the second function is the same process because both functions have the same denominator:

f(x)= x²-3x+2/x-2

x-2=0

x=2

the domain for the second function is x≠2. Real numbers except 2.