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Find the inverse of the function and verify that it is the inverse by performing a composition of functions both ways...

1. f(x) = (2x + 1) / (x + 3)

when i interchange x and y.. i can't seem to solve for y... because i have a y in the numerator and denominator...

Draw the graph and determine the domain and range of the function.

2. y = 2 ln (3-x) - 4

when i graph this equation on a calculator.. it doesn't look like the range is all reals... but in the back of the book.. the answer says the range is "all reals"... why?

3. y = log

_{2}(x+1)

same problem with range here.. doesn't look like all reals.. but it is...

Solve each equation algebraically.

4. e

^{x}+ e

^{-x}= 3

I can't seem to work this out anyway i try.. the x's end up canceling out.. and i lose my variable altogether

5. 2

^{x}+ 2

^{-x}= 5

same problem here as the previous question

and lastly...

Solve for y.

6. ln (y - 1) - ln 2 = x + ln x

I don't know where to go with that one at all...

Thanks a lot in advance!