Answer
In order to obtain $g(x)$, shrink vertically $f(x)$ and then, move 2 units left.
Work Step by Step
$f(x)=\frac{2}{x}$ (Red)
$y=\frac{1}{x}$ (Yellow), after the vertical shrink.
$g(x)=\frac{1}{x+2}$ (Green)
![](https://gradesaver.s3.amazonaws.com/uploads/solution/029ae748-5b52-4807-8a66-9323179adc9e/steps_image/small_1564448951.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021249Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=ebe3b4623905826a98cbdb01c2d99fc8f8f8678f9c0a3a484bdd933b66542299)
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