Let \( f: R \rightarrow R \) be a function defined is continuous \[ f(x)=\left\{\begin{array}{cc...
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0Let \( f: R \rightarrow R \) be a function defined is continuous
\[
f(x)=\left\{\begin{array}{ccc}
5, & \text { if } & x \leq 1 \\
a+b x, & \text { if } & 1x3 \\
b+5 x, & \text { if } & 3 \leq x5 \\
30, & \text { if } & x \geq 5
\end{array}\right.
\]
Then Find \( \mathrm{a} \) and \( \mathrm{b} \)
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