Question

Let f(x)=a–(x–3)^8/9 then greatest value of f(x) is

• A. 3
• B. a
• C. No Maximum value
• D. None

Answer 1

Answer: (B)

a

Answer 2

f(x) = a – (x – 3)^8/9

here (x – 3)^8/9 = ((x – 3)^1/9)⁸ > 0 for x ∈ R

⇒ f(x) ≤ a ⇒ Greatest value of f(x) = a.