Question

F(x)= x^2/3+6/x-27 ,x is not equal to 27

a) f(27)=0
b) f(27) is undefined
c) f(27)=6
d) f(27)=−6

Answer 1

The value of f(27) is undefined. So the correct answer is option (d).

Step-by-step explanation:

To find the value of f(27), we substitute x=27 into the function f(x)= x^2/3+6/x-27. However, we need to be careful because there is a restriction on the domain of the function: x cannot be equal to 27. Since 27 is in the domain of f(x), we cannot substitute it into the function.Since the denominator is 0, the expression is undefined. To find (f(27)) for the given function (f(x) = \frac{x^{2/3} + 6}{x - 27}), substitute (x = 27) into the function:[ f(27) = \frac{27^{2/3} + 6}{27 - 27} ]Now, let's simplify:[ f(27) = \frac{3 + 6}{0} ]Since the denominator is 0, the expression is undefined. Therefore, the correct answer is:b) (f(27)) is undefined. Therefore, the correct answer is: So, f(27) is undefined (option b).