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marin [14]
3 years ago
6

If f(x) = x/(2x - 1) and and g(x) = (x + 1)/(- x) then find g(f(x)) and state the domain of this composition function .

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Step-by-step explanation:

First thing to do is insert f(x) in for x in g(x) to make g(f(x))

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

f(x) is in the domain of g(x) which create the composition function.

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If the sum of $1! + 2! + 3! + \cdots + 49! + 50!$ is divided by $15$, what is the remainder?
kompoz [17]

Answer:

  3

Step-by-step explanation:

All factorials 5 and above are evenly divisible by 15, so have no remainder. Thus, you are interested in ...

  mod(1! +2! +3! +4!, 15) = mod(1 +2 +6 +24, 15)

  = mod(33, 15) = 3

The remainder is 3.

3 0
3 years ago
Whats 1+1 <br>(wrong answers only)​
katovenus [111]

Answer:

the answer to this equation is 55

4 0
3 years ago
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Given that ABC~LMN<br> What is the length of AC?
sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\frac{AB}{LM} = \frac{AC}{LN}

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\frac{5}{10} = \frac{x + 5}{3x + 3}

Cross multiply

5(3x + 3) = 10(x + 5)

15x + 15 = 10x + 50 (distributive property)

Collect like terms

15x - 10x = -15 + 50

5x = 35

Divide both sides by 5

x = 7

✔️Find AC

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Plug in the value of x

AC = 7 + 5

AC = 12

6 0
3 years ago
SHOW ALL WORK: Graph each lineby plotting its intercepts or by using the y intercept and slope. {2x-y=4 {3y-3x=6
pickupchik [31]

Answer:

x-y=-2

Step-by-step explanation:

Divide both sides if the equations by 3.

(3y-3x)÷3=6÷3

y-3x÷3=2

calculate the quotient

y-x=2

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-1x(-x)-1y=-1x2

any expression multiplied by -1

x-1y=-1x2

any expression multiplied by 1 remains the same.

x--y=-1x2

x-y=-2

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3 years ago
Which variable is most important to the following problem?
Ksenya-84 [330]

Answer:

B.) the number of tents the army orders

Step-by-step explanation:

The word problem does not speak of any prices or tent sizes so it cant be A or C

4 0
2 years ago
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