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AURORKA [14]
3 years ago
13

HELP PLEASEEEE Lots of points

Mathematics
2 answers:
MArishka [77]3 years ago
7 0

Answer:

-4, 2, 3

Step-by-step explanation:

Centre: (-4,2)

Radius: 3

(x - -4)² + (y - 2)² = 3²

Inessa [10]3 years ago
4 0

Answer:

-4, 2, 3

Step-by-step explanation:

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Hello!

To find the domain of the function h(x), we need to find the values of x where it is undefined.

We can begin by factoring the denominator of the rational function, h(x).

h(x) = 1/(3x² - 15x) (factor 3x from the binomial)

h(x) = 1/3x(x - 5)

After factoring the denominator, apply the zero product property.

3x = 0 (divide both sides by 3)

x = 0

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x = 5

The values of 0 and 5 cause h(x) to be undefined. The function h(x) comes from negative infinity to zero, where there is an asymptote. Also, from zero to five, there is also an asymptote. Finally, the function h(x) also goes to infinity from five.  

So therefore, the domain of the function h(x) is: (-∞, 0) ∪ (0, 5) ∪ (5, ∞).

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