Question

If $f\left(x\right)=a-{\left(x-3\right)}^{89}$, then greatest value of f(x) is

• A. $3$
• B. $a$
• C. no maximum
• D. none of these

Answer 1

The correct option is B $a$

Consider the given function ,

$f\left(x\right)=a-{(x-3)}^{89}$ …..(1)

For maximum value of ,$f\left(x\right)=a-{(x-3)}^{89}$

${(x-3)}^{89}$ should be minimum

Minimum value of${(x-3)}^{89}$ is zero.

Hence maximum value of $f\left(x\right)=a-{(x-3)}^{89}$

$f\left(x\right)=a-0=a$

Hence, option B is correct answer.