Determine whether Rolle's Theorem can be applied to f(x)=(x-1) (x-2)(x-3) on the closed interval [1,3]. Of Rolle's Theorem can b
1 answer:
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To find the inverse
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=x^2-9
y=x^2-9
x=y^2-9
x+9=y^2
sqrt both sides
replace
f⁻¹(x)=
that is the inverse
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=x^2-9
y=x^2-9
x=y^2-9
x+9=y^2
sqrt both sides
replace
f⁻¹(x)=
that is the inverse
Here is dependence between scores and x-values:
where is the mean,
is standard deviation and i changes from 1 to 2.
1. When i=1, then
2. When i=2, then
Now solve the system of equations:
Subtract first equation from the second:
Then
Answer: the mean is 62, the standard deviation is 20.