9514 1404 393
Answer:
f⁻¹(x) = √((3 -x)/3)
Step-by-step explanation:
A function gives you a y-value for each value of x.
y = f(x)
__
An inverse function tells you the x value that produced a given y-value. It is the solution to the equation ...
x = f(y)
So, we want to find y for ...
x = -3y² +3
x -3 = -3y² . . . . . . . . . . . subtract 3
(x -3)/-3 = y² . . . . . . . . . divide by -3
√((x -3)/-3) = y . . . . . . . take the square root.
The requirement for x > 0 in the original function means y > 0 for the inverse function. That is why we use the positive square root.
This can be simplified a little bit to remove the minus sign from the denominator.
f⁻¹(x) = √((3 -x)/3)
__
The graph plots the function and its inverse. They are reflections of each other over the line y=x. (That's one way you can tell you have the correct inverse function.)
Step-by-step explanation:
first what is the time
3:40 - 3:44
that is 4 minutes
4 min = 15.3 g
rate per min
we need to get 4 min to 1
so
answer below i will mark
Solve (x) F(x)=x^2+3x-2 is x-2
Answer:
Probability both are hopelessly romantic = 0.0169
Probability at least one is hopelessly romantic = 0.2431
Step-by-step explanation:
We are given that about 1313% of the population of a large country is hopelessly romantic.
Also, given two people are randomly selected.
Firstly, Let <em>Probability that the population of a large country is hopelessly romantic = P(R) = 0.13 </em>
(a) Probability both are hopelessly romantic is given by = Probability that first person is hopelessly romantic 
Probability that second person is hopelessly romantic
= 
= 0.13 0.13 = <u>0.0169</u>
(b) Now, Probability that the population of a large country is not hopelessly romantic = P(R') = 1 - P(R) = 1 - 0.13 = 0.87.
So, Probability at least one is hopelessly romantic is given by = 1 - Probability that none of them is hopelessly romantic
= 
= 1 - (0.87 0.87)
= 1 - 0.7569 = <u>0.2431</u>
