Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle {{10}\over{4 x -21}}+6 &\text{if }\displaystyle x\lt4\\ \\ \displaystyle -8 x ^2-9 x &\text{if }\displaystyle 4\le x\le8\\\\\displaystyle \sqrt{5 x -20} &\text{if } \displaystyle x\gt8 \end{cases} \]
Evaluate \(f(7)\).
Evaluate \(f(7)\).
| \(f(7)=\) |
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