The function is .
The function given by is homogenous of degree if .
Where is an integer.
Since ,the function is not homogenous.
Therefore the function is not Homogeneous.
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.![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=5e7fce62481e8e9b712cddbae1333e14.png\")
is homogenous of degree ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9d9525296c7189f71cd1cbb29d5a4593.png\")
if ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3927417be3bf6d16420f9157c5c69518.png\")
. is an integer.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=cb451052264868180f0528e9303f9f56.png\")
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,the function is not homogenous. ![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")