Step-by-step explanation:
In order to get the inverse of equation, we will interchange the variables and solve for x and y as follows.

whereas, 
or x = 
Now, on interchanging the variable we will get the equation as follows.


y = 
The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.
Here the two functions are given, f(x) and g(x).
f(x) = 2x² + 1
g(x) = 3x - 5
We have to find f-g and f(g(2)).
1) f- g
f(x) - g(x)
(2x² + 1) - ( 3x - 5)
2x² + 1 - 3x + 5
2x² - 3x + 6
2) f(g(2))
f(g(x)) = 2(3x-5)² + 1
= 2( 9x² - 30x + 25) + 1
= 18x² - 60x + 50 + 1
= 18x² - 60x + 51
f(g(2)) = 18(2)² - 60(2) + 51
=18× 4 - 120 + 51
= 72 - 120 + 51
= 123 - 120
= 3
Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.
To know more about the function refer to the link given below:
brainly.com/question/11624077
#SPJ4
Answer:
The standard deviation is of 8.586.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:

About 9% of the population has a particular genetic mutation.
This means that 
900 people are randomly selected.
This means that 
Find the standard deviation for the number of people with the genetic mutation in such groups of 900.

The standard deviation is of 8.586.
Answer:
-13 is less than zero in the options
Answer:
13/4 - (13,4) - however your teacher wants you to write it out.
Step-by-step explanation:
Rise (y) over Run (x)
Equation:
y2 - y1
over
x2 - x1
Inputting the numbers, 6 - -7 (aka 6+7) over -3 - -7 (aka -3+7)
6+7 = 13
-3+7 = 4
13/4 - The line is rising moving towards the right.
Hope I helped!