Analyze the rational function: f(x) = (x^2 - 4)/(x^3 - 3x^2 - 10x)

The function has a zero: , and two poles: and .

Step-by-step explanation:

Let be a rational function armed with polynomial function. We proceed to factor the expression to the find the zeros and poles of the rational function:

1) Given

2)  /Associative, commutative and distributive properties.

3)

4) Commutative property/Existence of multiplicative inverse/Modulative property/Result

The function has a zero: , and two poles: and .

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

351°f

step-by-step explanation: