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Cerrena [4.2K]
3 years ago
14

Please help ! Algebra

Mathematics
2 answers:
Sladkaya [172]3 years ago
6 0

Answer:

f^-1(3) =7

Step-by-step explanation:

no calculate  f^-1 :

let : f^-1(3) =a   so : f(a) = 3

(2a-2)/4 = 3

2a-2 = 12

2a=14

a = 7

f^-1(3) =7

Simora [160]3 years ago
5 0

Answer:

C

Step-by-step explanation:

y = (2x - 2) / 4 Interchange x and y

x = (2y - 2) / 4  Multiply both sides by 4

4x = 2y - 2       Add 2 to both sides.

4x + 2 = 2y       Divide both sides by 2

4x/2 + 2/2 = 2y / 2

2x + 1 = y

Now put 3 in wherever you see an x

2*3 + 1 = y

6 + 1 = y

7 = y

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Answer:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

Step-by-step explanation:

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The slope of a line can be found with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

You can observe in the graph of the function  g(x)  given in the exercise, that this is an horizontal line.  Then,  you can conclude that its slope is:

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The steps to find the slope of the function f(x) shown in the table attached, are the following:

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(0,3) and (4,-1)

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- Substitute values into the formula m=\frac{y_2-y_1}{x_2-x_1}:

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- Finally, evaluating, you get:

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1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

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