If `2f(x)-3f(1/x)=x^2(x!=0),` then `f(2)` is equal to (a)`-7/4("b")""5/2` (c) -1 (d) none of these

Explanation

To solve the equation \(2f(x) - 3f\left(\frac{1}{x}\right) = x^2\) and find \(f(2)\), we can follow these steps:

### Step 1: Substitute \(x\) with \(\frac{1}{x}\)
We start by substituting \(x\) with \(\frac{1}{x}\) in the original equation:

\[ 2f\left(\frac{1}{x}\right) - 3f(x) = \left(\frac{1}{x}\right)^2 \]
...