Answer:
The angle of separation is
Explanation:
From the question we are told that
The angle of incidence is 
The refractive index of violet light in diamond is 
The refractive index of red light in diamond is 
The wavelength of violet light is
The wavelength of red light is
Snell's Law can be represented mathematically as

Where
is the angle of refraction
=> 
Now considering violet light

substituting values




Now considering red light

substituting values




The angle of separation between the red light and the violet light is mathematically evaluated as

substituting values


The inverse of f(x) is (6x + 2)/x.
<h3>What is an inverse function?</h3>
The inverse function is defined as a function obtained by reversing the given function.
Given that f(x) = 2/(x-6)
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
So after switching x and y,
f(x) = y = 2/(x-6)
becomes
x = 2/(y - 6)
Now, we solve for y regularly.
f(x) = y = 2/(x-6)
Solve for y :
⇒ x(y - 6) =2
⇒ xy - 6x = 2
⇒ y = (6x + 2)/x
Therefore the inverse of f(x) is (6x + 2)/x
Learn more about inverse function here:
brainly.com/question/2541698
#SPJ1