Question

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

• A. $2$
• B. $-2$
• C. $3$
• D. $-3$
• E. $0$

Answer 1

Answer: (B)

$-2$

Answer 2

Given that:

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

$f ( 5^−) = 13 = 15 + α$

$α = 13 − 15$

$α = −2$ (_Ans.)