Answer:
see the explanation
Step-by-step explanation:
Find out the equation of each line of the piece wise
<em>First line</em>
The first line has an open circle at (negative 2, negative 2) and it continues horizontally to an open circle (negative 5, negative 2)
(-2,-2) to (-5,-2)
<em>Second line</em>
The second line has a closed circle at (negative 2, 0) and then continues up to an open circle at (1, 1.5)
[-2,0] to (1,1.5)
<u><em>Find the slope</em></u>
<u><em>Equation in point slope form</em></u>
we have
substitute
<u><em>Convert to slope intercept form</em></u>
so
<em>Third line</em>
The third line has a closed circle at (1, 4) and continues down to open circle (5, negative 4). Which functions represent a piece of the function?
[1,4] to (5,-4)
The equation of the line is
---> Repeat all steps that in second line
therefore
The piece wise function is equal to
---->
---->
--->
Answer:
Please find attached the required inverse of a function chart
Step-by-step explanation:
The inverse of a function is found by reversing the operations of the function
The inverse of the function f(x) = 2·x - 4 is found as follows;
x = 2·x - 4
x + 4 = 2·x
x = (x + 4)/2 = x/2 + 2
Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2
The inverse function is plotted by generating data points as follows;
x f(x)
0 2
1 2.5
2 3
3 3.5
4 4
5 4.5
6 5
7 5.5
8 6
9 6.5
10 7
11 7.5
12 8
13 8.5
14 9
15 9.5
16 10