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

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It is given, `f(x)= {a x+1, ` if ` x leq 3` and ` b x+3,` if ` x>3`
LHL at` x=3,`
`lim _{x -> 3^{-}} f(x)=lim _{h -> 0} f(3-h)=lim _{h -> 0} a(3-h)+1=3 a+1`
...
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