Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -3 x ^2+4 x -10 &\text{if }\displaystyle x\le3\\ \\ \displaystyle 4 x -6 &\text{if }\displaystyle 3\lt x\le6\\\\\displaystyle \sqrt{5 x -15} &\text{if } \displaystyle x\gt6 \end{cases} \]
Evaluate \(f(1)\).
Evaluate \(f(1)\).
| \(f(1)=\) |
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