If `alpha, beta, gamma` are zeroes of polynomial `6x^(3)+3x^(2)-5x+1`, then find the value of `alpha^(-1)+beta^(-1)+gamma^(-1)`.

Explanation

To find the value of \( \alpha^{-1} + \beta^{-1} + \gamma^{-1} \) where \( \alpha, \beta, \gamma \) are the zeroes of the polynomial \( 6x^3 + 3x^2 - 5x + 1 \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression we want to evaluate:
\[ \alpha^{-1} + \beta^{-1} + \gamma^{-1} \]
This can be rewritten using the formula for the sum of reciprocals:
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