Let {\f}: {\R} \to {\R} be defined by f(x)={\\begin{array}{ccc}2 x+3 & & x \leq 5 \ 3 x+\alpha & & x&gt\\5\end{array}. Then the value of \alpha so that f is continuous on R is

KEAM 2023 Math Solved Paper

Question : 82 of 120

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Let f:R→R be defined by
$ f(x)={\{\table 2 x+3, , x ≤ 5 ; 3 x+α, , x>5 }.
$
Then the value of α so that f is continuous on R is

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