Hello, bssm19!

I have two functions: and

I've selected an area that has been "trapped" by these two functions

and must find the domain and range of the area selected.

How do i go about doing this?

Not a clue . . .

Since the area is someconstant, I don't see how it can have a doman and range.

I also need to find the points of intersection of the two functions in the area i chose.

Do i start by making both functions equal each other? . . . Yes!

If so, how do i solve that? . . . It's not easy

I'll get you started . . .

Equate the two functions: .

Double-angle identity: .

We have: .

Factor: .

Factor: .

And we have two equations to solve:

. . . Hence: .*

. . . Square both sides: .

. . . Since and

. . . . we have: .

. . . Hence: .*

[Note: Since wesquaredthe equation, check for extraneous roots.]

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*Of course, the value of depends on what area you selected.