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.

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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.

Mathematics
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You cannot take the log of a negative number, so \[x \ge1\]
Where would we be taking a log of a negative number? Letter b indicates an inverse function.
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).

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

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