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3 years ago

6x+9/x-5 x is not equal to 5 find inverse

Mathematics

1 answer:

algol [13]3 years ago

3 0

You have f(x)=(6x+9)/(x-5) and want to find the inverse function? Please note that the parentheses are obligatory here.

1. Replace "f(x)" with y: y = (6x+9)/(x-5)

2. Interchange the variables x and y: x = (6y+9)/(y-5)

3. Solve this result for y: x(y-5) = (6y+9), or xy-5x = 6y+9. Then:

xy-6y = 9 + 5x, or y(x-6) = 9+5x
9+5x
Then y = --------------
x-6

Here x may not = 6, because division by zero would occur otherwise.

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Step-by-step explanation:

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3 years ago

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I would guess 40, I could be wrong.

Step-by-step explanation:

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Y is directly related to X , and Y is 81 when X is 27. The constant of variation is

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Since x and y are directly related, the equation for their comparison will look like

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3 years ago

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

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Answer:

Hence, the model that best represents the data is:

$y=26.9x-1.3$

Step-by-step explanation:

We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

$y = 47(1.191)^x$

$y=34\times (1.204)^x$

$y=26.9x-1.3$

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We make the table of these values at different values of x.

x A B C D

2 66.66 49.3 52.5 50

4 94.57 71.44 106.3 104

6 134.14 103.57 160.1 158

8 190.27 150.14 213.9 212

10 269.91 217.64 267.7 266

12 382.85 315.5 321.5 320.

Hence, the function that best represents the data is:

Option C.

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