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Natalka [10]
3 years ago
14

What is the domain of the function f(x) = x+1 / x2-6x+8

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

For this case we have that by definition, the domain of a function, is given for all the values for which the function is defined.

We have:

f (x) = \frac {x + 1} {x ^ 2-6x + 8}

The given function is not defined when the denominator is equal to zero. That is to say:

x ^ 2-6x + 8 = 0

To find the roots we factor, we look for two numbers that when multiplied give as a result "8" and when added as a result "-6". These numbers are:

-4-2 = -6\\-4 * -2 = 8

Thus, the factored polynomial is:

(x-4) (x-2) = 0

That is to say:

x_ {1} = 4\\x_ {2} = 2

Makes the denominator of the function 0.

Then the domain is given by:

All real numbers, except 2 and 4.

Answer:

x |x≠2,4

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A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i
kondaur [170]
Given:
Volume of the cone = π r² h/3

radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r

V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
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4 0
3 years ago
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A box company is designing a new rectangular gift container. The marketing department has designed a box with a width 2 inches s
Sladkaya [172]
Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height =  <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
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using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
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3 0
3 years ago
Mai and Tyler work on the equation 2/5 b + 1 = -11 together. Mai’s solution is b= -25 and Tyler’s is b = -28 Here is their work.
alisha [4.7K]

Answer:

<em>I disagree with both solutions. The value of b that will make the expression correct is -30</em>

Step-by-step explanation:

Given the equation solved my Mai and Tyler expressed as:

2/5 b + 1 = -11

We are to check the veracity of the solutions;

2/5 b + 1 = -11

Subtract 1 from both sides of the expression

2/5 b + 1 -1 = -11-1

2/5 b = -12

Cross multiply

2b = -12 * 5

2b = -60

Divide both sides by 2

2b/2 = -60/2

b = -30

<em>Since the solution b = -25 and -28 does not tally with the gotten solution, I disagree with the both solutions</em>

6 0
3 years ago
Express 23/7 in decimal form
g100num [7]

Answer:

3.285714286

Step-by-step explanation:

8 0
3 years ago
I need help on this question plz
soldi70 [24.7K]

Cylinders are 3D figures, as they are solids with volume and take up space.

2D figures are flat figures that you can draw, like a square or circle.

1D figures are actually just a line, a segment, or a point, etc.

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3 years ago
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