Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{4-x} &\text{if }\displaystyle x\lt4\\ \\ \displaystyle 7-{{10}\over{2 x -6}} &\text{if }\displaystyle 4\le x\lt6\\\\\displaystyle -7 x ^2-8 x -3 &\text{if } \displaystyle x\ge6 \end{cases} \]
Evaluate \(f(4)\).
Evaluate \(f(4)\).
| \(f(4)=\) |
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