We can start by setting y = f(x) and solving for x:
y = f(x) = 5 √x/5 = √x
Squaring both sides, we get:
y^2 = x
Now, we can switch x and y to get the inverse function:
f^-1(x) = y = √x
Therefore, the inverse function of f(x) = 5 √x/5 is f^-1(x) = √x.
For the functionn f(x) = 5 √x/5
find f^-1(x)
4 answers
The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest 10th.
score. Number of students
80. 5
85 9
90 5
95 6
100 9
score. Number of students
80. 5
85 9
90 5
95 6
100 9
I think it's pretty clear that it should have been f(x) = 5√(x/5)
You are correct. The correct function is f(x) = 5 √(x/5). Thank you for bringing that to our attention.
To find the mean of the scores in the table, we need to first calculate the sum of all the scores, which is:
(80 × 5) + (85 × 9) + (90 × 5) + (95 × 6) + (100 × 9) = 2355
Next, we need to calculate the total number of students, which is:
5 + 9 + 5 + 6 + 9 = 34
Finally, we can find the mean by dividing the sum by the total number of students:
2355 / 34 = 69.26 (rounded to the nearest tenth)
Therefore, the mean score is 69.3.
To find the mean of the scores in the table, we need to first calculate the sum of all the scores, which is:
(80 × 5) + (85 × 9) + (90 × 5) + (95 × 6) + (100 × 9) = 2355
Next, we need to calculate the total number of students, which is:
5 + 9 + 5 + 6 + 9 = 34
Finally, we can find the mean by dividing the sum by the total number of students:
2355 / 34 = 69.26 (rounded to the nearest tenth)
Therefore, the mean score is 69.3.