Answer:
1.
; 2. Domain:
Range: all real numbers
Explanation:
Let's find the solutions.
1. Solve the equation
so:





Although we have two answers, remember that from the original equation the result of
is never negative. So -1 do not solve the equation.
In conlcusion, the equation is solved by x=3.
2A. Domains and ranges of f1(x) and f2(x)

Using logarithmic property
we have:
because:
is defined by
then:
so the domain of f1(x) is

Now for the range:



notice that
is always positive, so the range of f1(x) is all real numbers.
Be aware that although point number two of the problem mentioned two equations, f1(x)=f2(x) by logarithmic properties, so their domains and ranges are the same.
2B. Graph of f1(x) is attached. Because f1(x)=f2(x) both functions plot equal.