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vagabundo [1.1K]
2 years ago
6

How to find domain of (1/x-3)(x^2-x-12)

Mathematics
1 answer:
Taya2010 [7]2 years ago
5 0

Set denominator to zero and solve for x.

x^2 - x - 12 = 0

Factor.

(x - 4)(x + 3) = 0

Solve each factor for x.

x - 4 = 0

x = 4

x + 3 = 0

x = -3

Answer:

The domain is ALL REAL NUMBERS except for x = 4 and x = -3.

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Solve using quadratic formula<br> 6x^2-x=2
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6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}

x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}

7 0
3 years ago
2) In the following diagram, a ladder is leaning against the building. What is the
bogdanovich [222]

Answer:

I believe the answer is about 34

Step-by-step explanation:

8 0
3 years ago
HI PLEASE ANSWER THIS QUESTION THANK YOU SO MUCH!
krek1111 [17]

1.  m³

2. cm³

3. s³

<h3>What is Unit?</h3>

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

1. Volume is measure in m³

2.  volume of a rectangular pencil case in cm³

3. V = s x s x s or s³

Learn more about volume here:

brainly.com/question/1324203

#SPJ1

3 0
2 years ago
What is the equasion of the line that passes through (0,5) and (2,3)
Annette [7]

The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}.


m = \frac{5 - 3}{0 - 2}


m = \frac{2}{-2}


m = -1


Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is y=-1x+5.

3 0
3 years ago
A company manufactures a 14-ounce box of cereal. Boxes are randomly weighed to ensure the correct amount. If the discrepancy in
s344n2d4d5 [400]

Answer:B; second one

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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