You could subsitute g(x) for x in f(x) and if you get x as a result, then that is indeed the inverse
ex
if
f(x)=x-2
the inverse which is g(x) is
g(x)=x+2 because if you did
f(g(x)) then you would get
f(g(x))=(2+x)-2=2-2+x=x
Answer:
The total profit P(x) or the month is
.
Step-by-step explanation:
A company produces x units of a product per month.
The total cost represents by the function C(x).

The total revenue represents by the function R(x).

The profit is the difference between revenue and cost.



Combine like terms.


Therefore, the total profit P(x) or the month is
.
Answer:
The top 20% of the students will score at least 2.1 points above the mean.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The mean of a certain test is 14 and the standard deviation is 2.5.
This means that 
The top 20% of the students will score how many points above the mean
Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.
Their score is:




16.1 - 14 = 2.1
The top 20% of the students will score at least 2.1 points above the mean.
First, solve the bracket:
(-3)^2 = (-3)(-3) = 9
Next, simplify
[9]^5 = 9 x 9 x 9 x 9 x 9 = 59049
59049 is your answer
hope this helps