Question

What is the range ? All real numbers expect ?

Answer 1

Step-by-step explanation:

The question wants us to determine the range of the given function

`f(x)=(2x+4)/(x-2)`

The graph below also helps us in answering this question

The range of a function is defined as

The solution to the function is given by

`\begin{bmatrix}\mathrm{Solution\colon}\: & \: f\mleft(x\mright)<2\quad \mathrm{or}\quad \: f\mleft(x\mright)>2\: \\ \: \mathrm{Interval\: Notation\colon} & \: \mleft(-\infty\: ,\: 2\mright)\cup\mleft(2,\: \infty\: \mright)\end{bmatrix}`

Therefore, the range is all real numbers except y = 2