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Dafna1 [17]
3 years ago
8

Given f(x)=1/x−3 and g(x)=9/x−1, find the domain of f(g(x))

Mathematics
1 answer:
Vikentia [17]3 years ago
7 0

Answer:

f(g(x))=\frac{x-1}{10-3x}

Step-by-step explanation:

f(x)=\frac{1}{x-3}\\\\g(x)=\frac{9}{x-1}\\\\f(g(x))=f(\frac{9}{x-1})\\\\f(g(x))=\frac{1}{g(x)-3}\\\\f(g(x))=\frac{1}{\frac{9}{x-1}-3}=\frac{x-1}{9-3(x-1)}=\frac{x-1}{10-3x}

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The sum of two consecutive mile markers on the interstate is 417417. Find the numbers on the markers
noname [10]

Hello from MrBillDoesMath!

Answer:

The first marker is labeled 208708; the second (consecutive) one 208709                  


Discussion:

Call the first mile marker "m". Then

m + (m+1) = 417417            => combine like terms

2m + 1 = 417417                 => subtract 1 from both sides

2m =  417416                     => divide both sides by 2

m  = 417416/2  = 208708                  

Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.

Thank you,

MrB

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3 years ago
What multiplies to 3025 and adds to -111?
sattari [20]
The numbers 55 and 55.
3 0
4 years ago
Explain Long division in your own words using at least 3 sentences.
Marina86 [1]

Answer:

form of devision that takes longer bc it a fraction or decimal. first you want to get rid of the decimals. then devide the numbers from the lowest to the highest

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4 0
3 years ago
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Sara is ordering t-shirts for her school. Sally's Shirt Shop charges $8.50 for each shirt and a one-time set up fee of $60. Shau
tensa zangetsu [6.8K]

Answer:

A ) 8.50x + 11 < 24x + 60

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