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tamaranim1 [39]
3 years ago
5

If f(x) =

"absmiddle" class="latex-formula"> x-2, what is F^{-1}(x)
Mathematics
1 answer:
boyakko [2]3 years ago
6 0

Answer:

Solution given:

f(x) = \frac{1}{9} x-2

let f(x)=y

y = \frac{1}{9} x-2

interchanging role of x and y

x= \frac{1}{9} y-2

x+2= \frac{1}{9} y

y=9(x+2)

y=9x+18

So

<u>F</u><u>-</u><u>¹</u><u>(</u><u>x</u><u>)</u><u>=</u><u>9</u><u>x</u><u>+</u><u>1</u><u>8</u>

<u>a</u><u>n</u><u>d</u>

<u>F</u><u>-</u><u>¹</u><u>(</u><u>-</u><u>1</u><u>)</u><u>=</u><u>9</u><u>*</u><u>-</u><u>1</u><u>+</u><u>1</u><u>8</u><u>=</u><u>-</u><u>9</u><u>+</u><u>1</u><u>8</u><u>=</u><u>9</u>

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Answer: 11,440 ft change in altitude

Step-by-step explanation: To do this equation, you first need to find a positive number that is high enough to reach positive 11,100. Because we are not starting at zero on the number line and are instead starting at negative 340, the number will be a little higher than 11,100. The simplest way to find the answer is by changing negative 340 to a positive value and adding it to positive 11,100. This should equal 11,440 To prove this, grab a calculator and add 11,440 to negative 340. To make 340 a negative integer, type in that number and then click the button that looks like this, +/_ Once you have added 11,440 to negative 340, the sum of the two integers should pop up as 11,100 on your calculator. The final and correct answer is equivalent to a 11,440-foot change in altitude.

Please comment below if this helped!

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3 years ago
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A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height o
Sliva [168]
Area = (base times height) / 2

Can rewrite it as

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On a scale drawing of a fence, 3.75 inches represents 12 feet. Estimate the actual length of a second fence that is 2.8 in the d
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But since we get to estimate, the 3.75 will be made into a 4 because it's the whole number closest to 3.75.

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An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.32 cents per
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Answer:

y(x) = 0.0732x + 17.32

Step-by-step explanation:

The equation for the monthly charge has the following format

y(x) = ax + b

In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.

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