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Goryan [66]
4 years ago
15

What is the inverse function of f(x)= x/x-2?​

Mathematics
1 answer:
jarptica [38.1K]4 years ago
5 0

Answer:

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

Step-by-step explanation:

Start by replacing f(x) by the variable "y" and solving for x in the equation:

f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}

Now do the final replacement using the inverse function notation, and replacing "y" with "x":

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

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3 years ago
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At a campground, a rectangular fire pit is 3 feet by 2 feet. What is the area of the largest circular fire that
AysviL [449]

The area of the largest circular fire pit is 452 square inches.

Explanation:

Given that at a campground, a rectangular fire pit is 3 feet by 2 feet

The radius is given by 1 feet.

<u>Area:</u>

The area of the largest circular fire is given by

A=\pi r^2

Substituting the values in the formula, we get,

A=(3.14)1^2

A=3.14 \ ft^2

Thus, the area of the largest circular fire is 3.14 square feet.

<u>To convert feet to inches:</u>

The feet can be converted into inches by multiplying by 12.

Thus, we have,

1 \ft= 12 \ inches

Hence, we have,

Area= 3.14\times 12^2

Simplifying,we get,

Area= 3.14\times144

Area=452.16 \ in^2

Rounding off to the nearest square inch.

Thus, we have,

Area=  452 \ in^2

Thus, the area of the largest circular fire pit is 452 square inches.

5 0
3 years ago
For an project pedro uses clay to make 4 balls each with a diameter of 4 in. what is the total volume of the 4 balls of clay?
patriot [66]

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r = half the diameter.

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Multiply the volume of 1 ball by total balls:

33.5 x 4 = 134 cubic inches.

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4 years ago
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The local Tupperware dealers earned the following commissions last month. What was the mean commission​ earned? Round your answe
kirza4 [7]

Answer:

B. ​$ 3094.01

Step-by-step explanation:

Given observations are,

$2894.21, ​ $1777.15, ​ $2144.77, ​ $4096.37, ​ $4046.29, ​$1786.37, ​ $3296.69, ​ $4086.27, ​ $2784.22

Number of observations = 10,

Sum of the observations = 2894.21​+1777.15​+2144.77​+4096.37​+4046.29​+1786.37​+3296.69​+4086.27​+2784.22​+4027.79 = 30940.13,

Hence,

Mean = \frac{\text{Sum of observations}}{\text{Number of observation}}

=\frac{30940.13}{10}

=3094.013

\approx 3094.01

Option 'B' is correct.

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4 years ago
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Answer: 7 inches

Step-by-step explanation: look at the base that is 7inches

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