Answer:
Thus both answers are: Positive infinity
Explanation:
The Absolute Value
It's the positive magnitude of a number, regardless of its sign, or zero if the number is zero.
Some examples of absolute values are:
![\mid 4 \mid =4](https://img.qammunity.org/2021/formulas/mathematics/college/lse47qdogwf8tkqdsvdcg22f9ehung9qtg.png)
![\mid -4 \mid =4](https://img.qammunity.org/2021/formulas/mathematics/college/wxq92hp0o4hbunhvjk6g8tcdrotp5q3glg.png)
![\mid 0 \mid =0](https://img.qammunity.org/2021/formulas/mathematics/college/1t0dtsj7rwxltvk5mvv7q0x4kattvp5fox.png)
![\mid -107.5 \mid =107.5](https://img.qammunity.org/2021/formulas/mathematics/college/w4bk9mgr2tqugh0mnw4z0s9atw3vdkcbu6.png)
We have the function:
![g(x)=4\mid x-2\mid -3](https://img.qammunity.org/2021/formulas/mathematics/college/jrl6y9m6gih6jg35xipyqs6bv5eps7srqp.png)
As x approaches negative infinity, the absolute value approaches positive infinity, and the whole expression approaches positive infinity.
As x approaches positive infinity, the absolute value approaches positive infinity, and the whole expression approaches positive infinity.
Thus both answers are: Positive infinity