The range of the function `f(x)=(x^2-x)/(x^2+2x)` is `R` (b) `R-[1]` (c) `R={-1/2,1}` (d) none of these

Explanation

To find the range of the function \( f(x) = \frac{x^2 - x}{x^2 + 2x} \), we will analyze the function step by step.

### Step 1: Rewrite the function
We can rewrite the function as:
\[ f(x) = \frac{x^2 - x}{x^2 + 2x} = \frac{x(x - 1)}{x(x + 2)} \quad \text{for } x \neq 0 \]
This simplification shows that the function is undefined at \( x = 0 \).
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