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Use the graph, the equations, or a table of values to support a logical argument that the linear functions
are inverses.
(please help)

Use the graph the equations or a table of values to support a logical argument that the linear functions are inverses please help class=

Respuesta :

reinhard10158

Step-by-step explanation:

one line has the slope of -3 (-3/1 meaning that when x increases by 1 unit, y decreases by 3 units).

and this line has the offset of y=-5 for x=0

so, the line equation is

y = -3x - 5

inverse means that we exchange x and y and then solve for y again :

x = -3y - 5

3y = -x - 5

y = -x/3 - 5/3

when we look at the second line, we see its slope is -1/3 (when x increases by 3 units, y decreases by 1 unit).

and while we cannot read the offset on the y-axis precisely, we can use a clearly readable point to prove or disprove the equation above.

for example (-2, -1)

-1 = -(-2/3) - 5/3 = 2/3 - 5/3 = -3/3 = -1

correct.

so, the equation we got for the inverse function fits exactly with the second line in the graph.

therefore, yes, they are both inverse functions to each other.

shubhamchouhanvrVT

The two given graphs are inverse functions of each other.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

One line has the slope of -3 (-3/1 meaning that when x increases by 1 unit, y decreases by 3 units).and this line has the offset of y=-5 for x=0

The line equation is

y = -3x - 5

Inverse means that we exchange x and y and then solve for y again :

x = -3y - 5

3y = -x - 5

y = -x/3 - 5/3

When we look at the second line, we see its slope is -1/3 (when x increases by 3 units, y decreases by 1 unit).and while we cannot read the offset on the y-axis precisely, we can use a clearly readable point to prove or disprove the equation above.

for example (-2, -1)

-1 = -(-2/3) - 5/3 = 2/3 - 5/3 = -3/3 = -1

The equation we got for the inverse function fits exactly with the second line in the graph.

Therefore the two given graphs are inverse functions of each other.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ2

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