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Paragraph: Let f(x)= array cc x+6, & x 1 p x+q, & 1 x 2 5 x, & x 2 array . and f(x) is continuous. Question: What is the value of p ?

Options

  1. A2
  2. B3
  3. C4
  4. D5

Correct answer

B. 3

Step-by-step solution

f(x)= array cc x+6, & x 1 p x+q, & 1 x 2 5 x, & x 2 array . f(x) is continuous LHL = RHL =f(1)1+6=p+qp+q=7 ....(1) LHL = RHL =f(2)p(2)+q=5(2)2 p+q=10 ....(2) (2) -(1), p=3

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