Decide whether the following statement is true or false The

Decide whether the following statement is true or false. The domain of the function f(x) = x^2 - 9/x is {x| x notequalto plusminus 3}. Choose the correct answer below. True False

Solution

f(x) = (x^2 - 9 ) / x

domain is all values of x where a function exists

for rational functions we cannot divide by zero

hence, we check the values of x which makes the denominator equal to 0

for the function (x^2 - 9 ) / x , if x = 0 the denominator would be 0

therefore, domain is all values of x and x not equal to 0

the statement is false