SOLUTION: Suppose that f(x)=log3(x-1). a) State the domain and range of f. b) Find a formula for f^-1. c) Sketch the graph of f and f^-1. Label all important points and asymptotes. I got

Question 276582: Suppose that f(x)=log3(x-1).
a) State the domain and range of f.
b) Find a formula for f^-1.
c) Sketch the graph of f and f^-1. Label all important points and asymptotes.
I got...
a) domain is x must be greater than or equal to 1 because you can't have negative numbers when it comes to log. DON'T KNOW WHAT THE RANGE IS..?
b) log3(x-1)=y
3^y=x-1
3^y+1=x
3^x+1=y
c) NOT SURE HOW TO SKETCH THE GRAPH.
PLEASE HELP ME FIND THE RANGE AND SKETCH THE GRAPH, I NEED HELP ASAP PLEASE!!
MUCH APPRECIATED!!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Part a. The range is all real numbers.

Part b. 100% correct

Part c.

Red graph is

Green graph is

Despite what it looks like, the curve for

does not stop abruptly at -3. The value of

decreases without bound as

approaches 1 from the right. The picture you see is just a limitation of the graphing function on this website.

John

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