We actually don't need to do any computation. By definition, the inverse function
changes the role of input and output. So, if a function f maps x onto y, the inverse function maps y onto x.
You have to think like this: if the function makes a step further, the inverse function makes that same step back.
This means that the composition
is always the identity function
. In fact,

So, for every function, you have

Answer:
x -y =4
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (1- -4)/(5 - 0)
= (1+4)/(5-0)
5/5
= 1
Then we can use slope intercept form
The slope is 1 and the y intercept is -4
y = mx+b
y = 1x-4
We want it in standard form
Ax + By = C where A is a positive integer
Subtract x from each side
-x +y = -4
Multiply by -1
x -y =4
Answer:
A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Step-by-step explanation:
The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.
6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.
Hope this helps! Have a great day! :)
Answer:
K = -16/33
Step-by-step explanation:
For a problem like this, it is convenient to write the mixed number as an improper fraction:
-11/8 K = 2/3
Now, multiply the equation by the reciprocal of the coefficient of K.
K = (-8/11)(2/3)
K = -16/33
Answer:
-16
Step-by-step explanation:
k = 3
-2(3) + 5 = -1
k = 4
-2(4) + 5 = -3
k = 5
-2(5) + 5 = -5
k = 6
-2(6) + 5 = -7
(-1) + (-3) + (-5) + (-7)
= -16