Let $f(x)=a-(x-3)^{8 / 9}$, then greates

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

Let $f(x)=a-(x-3)^{8 / 9}$, then greatest value of f(x) is

Options:

no maximum value

none of these

Correct Answer:

Explanation:

We have,

$f(x)=a-(x-3)^{8 / 9}$

Clearly, $(x-3)^{8 / 9}>0$ for all $x \in R$

$\Rightarrow f(x) \leq a$ for all $x \in R$.

Hence, the greatest value of f(x) is a.