A function f is such that $\mathrm{f}(x)=\ln (2 x+1)$, for $x>-\frac{1}{2}$. (i) Write down the range of f .
Explanation
The function f is defined as f(x) = ln(2x + 1) for x > -1/2. Since the natural logarithm function is defined only for positive real numbers, the argument 2x + 1 must be greater than 0. This implies that 2x > -1, or x > -1/2. Therefore, the range of f is all real numbers greater than -1/2.
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