If f(x)= cases a x^2+b x+1 & if |2 x-3| 2 3 x+2 & ; if 1 2

Options

1. A23 5
2. B1 5
3. C13 5
4. D31 5

Correct answer

A. 23 5

Step-by-step solution

aligned & f(x)= array ccc a x^2+b x+1 & ; & |2 x-3| 2 3 x+2 & ; & 1 2 for continuity at x= 5 2 from (1) and (2) a=- 4 5 and b= 27 5 a+b= -4+27 5 = 23 5

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