Answer:
You should use MathPapa.
Step-by-step explanation:
1. We assume, that the number 92.4 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 150% of 92.4
92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6
<span>now we have: </span>
<span>150% of 92.4=138.6</span>
Answer:
In this problem, we are given the following functions:
and its inverse function:
First of all, we want to calculate 
. This can be obtained by substituting
x = 2
into f(x). Doing so, we find:
Then we want to calculate 
. We can do it by substituting
x = 1
into 
. Doing so,
Then we want to calculate 
, which can be found by calculating f(2) and then using it as input for 
We know that
f(2) = 1
Therefore,
Then we want to calculate 
, which can be calculated by plugging
x = -2
into . Doing so,
Then we want to calculate 
; by substituting
x = 4
into f(x), we find
Finally, we want to find 
We know already that
So we have:
