Question

Find the domain of the following function given by:

f(x) = `(3x)/(2x - 8)`

Answer 1

f(x) = `(3x)/(2x - 8)`

A function is undefined when the denominator equals 0. So, set the denominator 2x − 8 equal to 0: 

2x − 8 = 0

2x = 8

x = 4

The function f(x) is undefined at x = 4 because division by zero is not allowed. 

Doamin of f(x) = R − {4}