Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 5 x +9 &\text{if }\displaystyle x\le3\\ \\ \displaystyle 6 x ^2-10 x +8 &\text{if }\displaystyle 3\lt x\lt6\\\\\displaystyle \sqrt{4 x -12} &\text{if } \displaystyle x\ge6 \end{cases} \]
Evaluate \(f(3)\).
Evaluate \(f(3)\).
| \(f(3)=\) |
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