If the function $\mathbb{\text{⨍ : ℝ→ℝ,}}$ defined by 

$\text{⨍ (x)=}\left\{\begin{array}{l}5-3\mathrm{x} , \mathrm{if} \mathrm{x}\le \frac{5}{3}\\ {\mathrm{x}}^2-3\mathrm{x}+20 , \mathrm{if} \mathrm{x}>\frac{5}{3}, \end{array}\right.$ then $\text{῾}⨍ \text{᾽}$ is

$$\begin{gathered} \mathrm{f}\left(\mathrm{x}\right)=\left\{\begin{array}{l}5-3\mathrm{x} ;\mathrm{x}\le 5/3\\ {\mathrm{x}}^2-3\mathrm{x}+20 ; \mathrm{x}>5/3 \end{array}\right. \\ \mathrm{at} \mathrm{x}=5/3 \\ \mathrm{LHL}=\underset{x\to {\frac{5}{3}}^{-}}{\lim }\underset{ }{ }5-3\mathrm{x}=0 \\ \mathrm{RHL}=\underset{\mathrm{x}\to {\frac{5}{3}}^{+}}{\lim }\left({\mathrm{x}}^2-3\mathrm{x}+20\right)=\frac{25}{9}-5+20=\frac{160}{9} \\ \mathrm{f} \mathrm{is} di\mathrm{scontinuous} \mathrm{at} \mathrm{x}=5/3, \\ \mathrm{at} \mathrm{x}=2, {\mathrm{f}}^1\left(\mathrm{x}\right)=2\mathrm{x}-3 \\ \Rightarrow {\mathrm{f}}^1\left(2\right)=1 \\ \therefore \mathrm{f} \mathrm{is} \mathrm{differentiable} \mathrm{at} \mathrm{x}=2 \end{gathered}$$