Answer
$g(x)=(x+3)^2+2$ has no inverse function.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/7e7d7ebf-37be-45ea-8267-66f2d6fce871/result_image/1564260809.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014523Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=faacff0881ec478dba0884aff23cdd8a74046f96ded4e24e31701fab7e3f0020)
Work Step by Step
It is possible to draw a horizontal line that intersects $g(x)$ in two points.
For example: $y=8$
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