Given the domain of the rational functions. Write your answers in set notation and interval notation.

sibuzwaW

sibuzwaW

Answered question

2021-07-03

Given the domain of the rational functions. Write your answers in set notation and interval notation.

Answer & Explanation

izboknil3

izboknil3

Skilled2021-07-04Added 99 answers

(a)We are given the expression: f(x)=(x2)x(x62)+3x4
We find the zeros of the denominator: (x62)+3x4=0
(x62)+4xx=0
x(x+4)(x+4)=0
x+4=0 or x1=0
x=4 or x=1
The domain of the expression is: xR{4.1}
(b) We are given the expression: 3x9(x2)
We find the zeros of the denominator: 9(x2)=0
(3x)(3+x)=0
3x=0 or 3+x=0
x=3 or x=3
The domain of the expression is: xR{3.3}
Result
(a) x4,x1 (b) x3,x3

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