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mojhsa [17]
3 years ago
13

Margo will sweep a room. A diagram of the floor is shown at the right. What is the area of the floor?

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

you forgot the diagram

Step-by-step explanation:

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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

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

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

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
3 years ago
2 milliliters in one week
kipiarov [429]
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8 0
3 years ago
The enrollment for a new program is 1,500 students. the program is expected to grow at a rate of 0.03. what is the expected enro
Hatshy [7]

The expected enrolment in 7 years is  1845.

<h3>What is the expected enrolment?
</h3>

The formula for calculating future value of the number of students is an exponential equation with this form:

FV = P (1 + r) ^n

  • FV = Future population
  • P = Present population
  • R = rate of growth of the population
  • N = number of years

1500 x (1.03)^7 = 1845

To learn more about future value, please check: brainly.com/question/18760477

#SPJ1

3 0
2 years ago
Solve 1/2x times 1/4x-18=6.
SashulF [63]

Answer:

The answer is 48

Step-by-step explanation:

Have a nice day

3 0
2 years ago
Find a common denominator for the pair of factions.then,write equivalent fractions with the common denominator 8/15 and 1/3
Juli2301 [7.4K]

Answer:

c. 15

Step-by-step explanation: 15 is divisible by 3

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