The domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 1/√x
m(x) = x² - 4
Domain of f(x)/m(x):
f(x)/m(x) = (1/√x)/(x² - 4)
f(x)/m(x) = 1/√x(x² - 4)
The denominator cannot be zero:
√x(x² - 4) ≠ 0
x(x - 2)(x+2) ≠ 0
x ≠ 0, 2, -2
and x > 0
Domain of f(x)/m(x) is: (0, ∞) - {0, 2, -2} or 
Domain of f(m(x)):
f(m(x)) = 1/√(x² - 4)
x² - 4 > 0
Domain: 
Domain of m(f(x)):
= ((1/√x)² - 4)
Domain: 
Thus, the domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
Learn more about the function here:
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Answer:
X=18
Step-by-step explanation:
Pentagon = 540 degrees total
Find Known Angel total:
95+ 90= 185
subtract from 540:
540-185=355
add all unknown angles together:
(7x-4)+ (3x+23)+(9x-6)= 19x+13
set up equation and solve
19x+13=355
19x=355-13
19x= 342
x=342/19
x=18
<u>Answer:</u>
Below!
<u>Step-by-step explanation:</u>
<u>The best way to answer this question is to read the statement carefully.</u>
- => Five less than twice a number = 2x - 5
- => Five times the sum of two numbers = 5(x + y)
- => The difference of 5 and a number, squared = (5 - x)²
Hoped this helped.
You need to know the rule or theorem for the lengths of the sides of a triangle,which is: the lengths of any two sides of a triangle must add up to more than the length of the third side.
So, let's examine each option:
<span>A.4 inches => side A: 7, side B: 11, side C: 4 ---> NOT POSSIBLE
Justification:
7 + 4 = 11
11 = 11 => the sum of sides A and C is not greter than the side B, so it does not satisfy the rule.
B. 7 inches => side A: 7, side B: 11, side C: 7. ---> COULD BE
Justification:
7 + 7 = 14; 14 > 11
7 + 11 = 18; 18 > 7
C. 13.5 inches => side A: 7, side B: 11, side C: 13.5: ---> COULD BE
Justification:
7 + 11 = 18; 18 > 13.5
7 + 13.5 = 20.5; 20.5 > 11
11+13.5 = 24.5; 24.5 > 7
D. 18 inches => side A: 7, side B: 11, side C: 18 ---> NOT POSSIBLE
Justification:
7 + 11 = 18; 18 = 18 => it does not satisfy the rule.
E. 20 inches
=> side A: 7, side B: 11, side C: 20 ---> NOT POSSIBLE
Justification:
7 + 11 = 18; 18 < 20 => it does not satisfy the rule</span>
This shows that about 7 and 3 pounds of each chocolate were included in the mixture.
Let the number of pounds of both chocolates be x and y.
If Enrico sold a 10-pound box of assorted chocolates, hence;
x + y = 10 ................. 1
If some of the chocolates in the box sold for $1.75 per pound and some sold for $2.00 per pound with mixture sold for $1.90 per pound, then:
1.75x + 2x = 1.90 ................ 2
Solve equations 1 and 2 simultaneously.
x + y = 10 ................. 1 * 20
17.5x + 20x = 19 ................ 2 * 1
____________________________
20x + 20y = 200
17.5x + 20x = 19
Subtract
20x - 17.5x = 200 - 19
2.5x = 181x = 7.24
Substitute 7.24 into 1
x + y = 10
y = 10 - 7.24
x = 2.76
This shows that about 7 and 3 pounds of each chocolate were included in the mixture.
Learn more here: brainly.com/question/15165519
