Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{-3 x -12} &\text{if }\displaystyle x\le-4\\ \\ \displaystyle -5 x -4 &\text{if }\displaystyle -4\lt x\lt6\\\\\displaystyle {{2}\over{10 x +42}}+4 &\text{if } \displaystyle x\ge6 \end{cases} \]
Evaluate \(f(-4)\).
Evaluate \(f(-4)\).
| \(f(-4)=\) |
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