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anonymous
 5 years ago
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.
anonymous
 5 years ago
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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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You cannot take the log of a negative number, so \[x \ge1\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Where would we be taking a log of a negative number? Letter b indicates an inverse function.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'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 xvalues 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
 5 years ago
Best ResponseYou've already chosen the best response.0Oh dear, I'm sorry... I was totally on whole other planet. You will have to excuse my idiot self.
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