A value of x for which a rational function f(x) is undefined is a(n) ?.
Recall that a rational function is any function that can be expressed as a fraction whose numerator and denominator are polynomials.
f(x)=polynomial/polynomial
A rational function is defined only for the values of the variable that do not make the denominator equal 0 and it is undefined for values of x that make the denominator 0. These values of variables for which a rational function is undefined are called excluded values. Consider the following rational function.
f(x)=3/x+7
Let's determine the values of x which make the denominator equal 0.
We have that the denominator of our function is 0 when x=- 7. Therefore, x=- 7 is the excluded value.
f(x)=3/x+7, x≠- 7
Finally we will complete the given sentence.
A value of x for which a rational function f(x) is undefined is an excluded value.
