Question 276582
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Part a.  The range is all real numbers.


Part b.  100% correct


Part c.


Red graph is *[tex \Large f(x)\ =\ \log_3\left(x\,-\,1\right)]


Green graph is *[tex \Large f^{-1}(x)\ =\ 3^x\,+\,1]


{{{drawing(
500, 500, -10, 10, -10, 10,
grid(1),
graph(
500, 500, -10, 10, -10, 10,
log(3,x-1),
3^x+1))}}}


Despite what it looks like, the curve for *[tex \Large f(x)] does not stop abruptly at -3.  The value of *[tex \Large f(x)] decreases without bound as *[tex \Large x] approaches 1 from the right.  The picture you see is just a limitation of the graphing function on this website.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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