Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 3 x ^2-2 x -6 &\text{if }\displaystyle x\le3\\ \\ \displaystyle 2-9 x &\text{if }\displaystyle 3\lt x\lt5\\\\\displaystyle \sqrt{{{2 x }\over{3}}-2} &\text{if } \displaystyle x\ge5 \end{cases} \]
Evaluate \(f(9)\).
Evaluate \(f(9)\).
| \(f(9)=\) |
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