The graph and inverse of a function are reflections of each other along the line y = x.
A relation made up of ordered pairs (x, y) has as its inverse the set of all ordered pairs (y, x).
When a point is mirrored over the line y = x, the x- and y-coordinates swap places. Similarly, when a point is mirrored over the line y = -x, the x- and y-coordinates swap places and become negated.
Therefore,
The point (x, y)'s reflection over the line y = x is (y, x).
The point (x, y)'s reflection over the line y = - x is (-y, -x).
Thus, the graph and inverse of a function are reflections of each other along the line y = x.
Learn more about reflections for inverse of a function at
brainly.com/question/14544356
#SPJ4
Answer:
Infinitely many solutions.
Step-by-step explanation:
3x-3y=6
-6x+6y=-12
------------------
2(3x-3y)=2(6)
-6x+6y=-12
-------------------
6x-6y=12
-6x+6y=-12
--------------------
0=0
Its all the numbers in the first circle
Answer:
Problem #1: x = 2.5
Problem #2: x = 10/7
Step-by-step explanation:
Step 1: Find the value of x in (8x - 20)
8x - 20 = 0
<u>Add 20 to both sides</u>
8x - 20 + 20 = 0 + 20
<em>8x = 20</em>
<em />
<u>Divide both sides by 8</u>
8x / 8 = 20 / 8
<em>x = 2.5</em>
<em />
Answer: x = 2.5
<em />
Step 2: Find the value of x in (14x - 20)
14x - 20 = 0
<u>Add 20 to both sides</u>
14x - 20 + 20 = 0 + 20
<em>14x = 20</em>
<em />
<u>Divide both sides by 14</u>
14x / 14 = 20 / 14
<em>x = 10/7</em>
<em />
Answer: x = 10/7
