for f(z) = z^2 + 16 / z^2 - 3z - 10, Find all numbers that are not in the domain of the function, Then give the domain in set notation.

Question

for f(z) = z^2 + 16/z^2 - 3z - 10, Find all numbers that are not in the domain of the function, Then give the domain in set notation.

 

Answer 1

z may not be any number that makes the denominator equal to zero.

z² - 3z - 10 = 0

(z - 5)(z + 2) = 0

 

{-2, 5}