Find the domain of the function fy y 64y 24 What is the d

Find the domain of the function. f(y) = y - 6/4y - 24 What is the domain of f(y)? {y | y is a real number and y not equal to} (Type an integer or a simplified fraction.)

Solution

The domain of the function f(y) = (y-6)/(4y-24) is the set of all real values that y can take. Since division by 0 is not defined and since 4y-24=4(y-6)=0 when y=6,hence the domain of f(y) is {y|y is a real number and y 6}.