Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle {{1}\over{5 x +7}}-8 &\text{if }\displaystyle x\lt-2\\ \\ \displaystyle \sqrt{16 x +32} &\text{if }\displaystyle -2\le x\lt0\\\\\displaystyle 8-x &\text{if } \displaystyle x\ge0 \end{cases} \]
Evaluate \(f(-1)\).
Evaluate \(f(-1)\).
| \(f(-1)=\) |
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