# Complete the table given h(x)=g(f(x)) ?

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I'm really confused on how to use composition of functions to complete the table. I was only able to fill in one blank. I would much appreciate some help with steps on how to solve this table.

I'm really confused on how to use composition of functions to complete the table. I was only able to fill in one blank. I would much appreciate some help with steps on how to solve this table.

##### 1 Answer

#### Explanation:

Given (with identification variables added for later reference):

but we are also told that

but we are also told that

From here on, I am not certain that any unique solution is possible

I have assumed that the functions are one-to-one and the range is limited to

If this is the case, the only value remaining for

and

since

and this only leaves