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Find the relationship between `' a '` and `' b '` so that the function `'f'` defined by `f(x)={a x+1\ \ \ ,\ \ \ if\ xlt=3b x+3\ \ \ ,\ \ \ if\ x >3` is continuous at `x=3` .

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Given function is continious at `x=3`
When `lim_(x→3​)f(x)=f(3)`
`⇒3b+3=3a+1`
`⇒3a−3b=2`
`⇒a−b=2/3​`
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