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kupik [55]
3 years ago
6

How do a graph y=5/3x-9

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Step-by-step explanation:

y int is -9. to graph slope think a our rise/run. change in y / change in x. move 5 units up per 3 units right. it's a positive slope to the graph is increasing towards the right

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For which function is f(x) equal to f^1(x) ( answer choices in picture )
Sonja [21]

Answer:

C. f(x)=\frac{x+1}{x-1}

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+6}{y-6}

Rewrite in terms of 'y'. This gives,

x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}

The given function y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}

So, option A is incorrect.

Option B:

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

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+2}{y-2}

Rewrite in terms of 'y'. This gives,

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

The given function y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}

So, option B is incorrect.

Option C:

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

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+1}{y-1}

Rewrite in terms of 'y'. This gives,

x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}

The given function y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}

So, option C is correct.

Option D:

f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+5}{y-5}

Rewrite in terms of 'y'. This gives,

x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}

The given function y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}

So, option D is incorrect.

Therefore, only option C is correct.

7 0
3 years ago
A Number decreased by the square of 9
grin007 [14]
X decreased by the square of nine
x - 9^2 = x - 81
8 0
3 years ago
The mean temperature for the first 7 days in January was 3 °C.
weeeeeb [17]

m = \frac{a_1 + a_2 + ... + a_n}{n}\\~\\m = \frac{3 * 7 + 2}{8} = \frac{21 + 2}{8} = \frac{23}{8} = 2,875

Answer: 2,875.

6 0
3 years ago
What is 5/18 + 7/12?
Flauer [41]
5/18+7/12

=10/36+21/36

=31/36
8 0
3 years ago
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An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the
Usimov [2.4K]
It will probably be A Hopes This Helps.
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3 years ago
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