Question: Consider the function f (x) = log 10 x. (a) What is the domain of f? (b) Find f -1 . (c) Let x be

Consider the function f (x) = log₁₀ x.
(a) What is the domain of f?
(b) Find f^-1.
(c) Let x be 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) When f (x) is increased by one unit, x must have been increased by what factor?
(f) Find the ratio of x₁ to x₂ given that f (x₁) = 3n and f (x₂) = n.

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