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AP EAMCET202419 May 2024Evening ShiftMathematicsFunctionsActual

If a real valued function f:[a, ) [b, ) defined by f(x)=2 x^2-3 x+5 is a bijection, then 3 a+2 b=

Options

  1. A20
  2. B10
  3. C12
  4. D6

Correct answer

B. 10

Step-by-step solution

f:[a, ) [b, ) and f(x)=2 x^2-3 x+5 Now, f^ (x)=4 x-3 ; If f^ (x)=0 x= 3 4 Since, f(x) is bijection function. So, a= 3 4 and f ( 3 4 )=b b= 31 8 Now, 3 a+2 b= 9 4 + 31 4 =10 .

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