Find the domain and range of the following function.

f(x)=\dfrac{5}{x-2}

Find the domain and range of the following function.

f(x)=\dfrac{5}{x-2}

Set the denominator equal to zero and solve for x.

x - 2 = 0

\therefore x = 2

Since the function is undefined when x=2, the domain is all real numbers except 2. Similarly, the range is all real numbers except 0