I have a few problems that i need help with...(adsbygoogle = window.adsbygoogle || []).push({});

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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Inverse Functions and Logs

**Physics Forums | Science Articles, Homework Help, Discussion**