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Sonbull [250]
3 years ago
12

Find the inverse of 2∛(x+2)

Mathematics
1 answer:
Artemon [7]3 years ago
5 0
y=2\sqrt[3]{x+2}\ \ \ |divide\ both\ sides\ by\ 2\\\\\sqrt[3]{x+2}=\dfrac{y}{2}\to x+2=\left(\frac{y}{2}\right)^3\ \ \ |subtract\ 2\ from\ both\ sides\\\\x=\dfrac{y^3}{2^3}-2\\\\x=\dfrac{1}{8}y^3-2\\\\\boxed{f(x)=2\sqrt[3]{x+2}\to f^{-1}(x)=\frac{1}{8}y^3-2}
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To purchase $12,900 worth of machinery for her business, Melissa made a down payment of $2100 and took out a business loan for t
Ierofanga [76]

Answer:

a) $13588.08

b) $688.08

Step-by-step explanation:

Melissa had to purchase $12,900 worth of machinery for her business.

She made a down payment of $2100 and after that made monthly payments of $478.67 for the business loan for the rest.

Given that after years of paying monthly payments of $478.67, she finally paid off the loan.

Assume that she took 2 years to repay the loan.

a) Therefore, the total amount Melissa ended up paying for the machinery was $[2100 + (478.67 × 24)] = $13588.08 (Answer)

b) Therefore, the amount of interest that Melissa pay on the loan is $(13588.08 - 12900) =$688.08. (Answer)

4 0
3 years ago
Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y = Two divided by x squared. + 3
kodGreya [7K]
Hello,

g(x)=x²+3
f(x)=2/x
so f(g(x))=f(x²+3)=2/(x²+3)

Explainations:

f(y)=2/y
f(4y)=2/(4y)
f(x²)=2/x²
f(x²+3)=2/(x²+3)

4 0
3 years ago
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Answer:

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
If 7x+10=44, what is the value of 7x-50?
Daniel [21]

Answer:

-16

Step-by-step explanation:

So let’s solve for 7x. So 7x=34. So 7x-50 is 34-50 or -16

6 0
3 years ago
Anybody knows what is -2(g - 3) = 2(g - 7)​
Veronika [31]

Answer:

g = 4.6

Step-by-step explanation:

-3(g - 3) = 2(g - 7)

-3g + 9 = 2g - 14

-3g = 2g - 23

-5g = -23

g = 4.6

3 0
3 years ago
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