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What is the minimum value of the function f(x)= ₁₀ (x^2+2 x+11 ) ?

Options

  1. A0
  2. B1
  3. C2
  4. D10

Correct answer

B. 1

Step-by-step solution

aligned & Since, , f(x)= ₁₀ (x^2+2 x+11 ) & f^ (x)= 2 x+2 x^2+2 x+11 ₁₀^e=0 & x=-1( critical point ) & f^ (x)= 2 (x^2+2 x+11 )-(2 x+2)^2 (x^2+2 x+11 )^2 ₁₀^e & f^ (-1) 0 & Minimum value of f(x) & f(-1)= ₁₀ 10=1 aligned

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