Answer: f(x) = 6x+1/3
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Explanation:
To find the original function from the inverse which is y = 3x-1/6, you replace the y with the x and then solve for y in terms of x.
1) x = 3y-1/6
2) 6x = 3y-1
3) 6x+1 = 3y
4) (6x+1)/3 = y
So therefore, your original function must be f(x) = 6x+1/3
Hope you understand it :)