Originally Posted by

**TeriyakiDonnQ** Hii (: I spend a couple of hours on these problems and I don't know how to solve them:

1. Show that if *f* is a constant function and* g* is any fucntion, then *f* of *g* and *g* of* f* are both constant functions.

2. Give an example of three functions *f*, *g* and *h*, none of which is a constant function, such that *f* of *g* = *f* of *h* but *g* is not equal to *h*.

I'm not sure if this is right but i did..

h(x)= x^2 , g(x)= x-3, and f(x)= √x

does that work? D:

3. Suppose f is a function whose domain equals to {2,4,7,8,9} and whose range equals to {-3,0,2,6,7}. Explain why f is a one to one function.

I don't understand what they mean by one to one function and the {2,4,7,8,9} thing. What does does it mean?

4. Give an example of a function f such that the domain of f and the range of f both equal the set of integers, but f is not a one to one function.

5. Explain why an even function whose domain contains a nonzero number cannot be a one-to-one function.

Thank you in advancee (: (: <3