Consider the function f(x)=log base 10 of x.
(a) What is the domain of f?
(b) Find f^-1
(c)If x is a real number between 1000 and 10,000, determine the interval in which f(x) will be found.
(d) Determine the interval in which x will be found if f(x) is negative.
(e) If f(x) is increased by one unit, x must have been increased by what factor?
(f) Find the ratio of x 1, to x 2 given that f(x 1)=3n and f(x 2)=n.

Question

anonymous · Answer

You cannot take the log of a negative number, so $$x \ge1$$

anonymous · Answer

Where would we be taking a log of a negative number? Letter b indicates an inverse function.

anonymous · Answer

I'm not taking the log of a negative number. I'm just saying if you want to find the domain, you look to see what x-values can be used in the function. Since we know, 
x cannot be negative, this means the domain is 
$$x \ge0$$ (I meant 0 in the first answer, not 1).

anonymous · Answer

Oh dear, I'm sorry... I was totally on whole other planet. You will have to excuse my idiot self.