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13 votes
13 votes
What is the discontinuity and zero of the function f(x)=
x? - 9x +20,
X-5

User Marc Carreras
by
2.9k points

1 Answer

13 votes
13 votes

Answer

x=1

Explanation:

This is a rational function (a polynomial divided by another polynomial). The zeros of a rational function are the zeros of the numerator polynomial, provided that they do not occur in the denominator polynomial. If the zero is a zero of both numerator and denominator, we divide the common factor away to resolve the limit because then we have 0/0 which has to be resolved by limits.

User Loomer
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2.7k points