You have just enrolled into a new class called "Wordonometry". Wordonometry involves adding and subtracting parts of words and using special functions on a word. On the first day of the class, you claim that you are new to the subject, so the teacher goes easy on you. He gives you the definitions of certain key functions that will aid you in today's warm-up problem:

ant = Change the word into an antonym of its former self. Example: ant(alive) = dead
syn = Change the word into a synonym of its former self. Example: syn(idiosyncratic) = strange
hom = Change the word into a homonym of its former self. Example: hom(straight) = strait
+bgn+ = Add the second word/fragment to the beginning of the first word/segment. Example: lick +bgn+ s = slick
+end+ = Add the second word/fragment to the end of the first word/fragment. Example: rob +end+ in = robin

You can use these functions in any order you need to change words into other words. Can you use the following functions to change HIGHER into THRIVE?

The functions are:

ant(____)
syn(____)
hom(____)
+bgn+ f
+end+ ish