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True or False?In Exercise,determine whether the statement is true or false given that f(x) = In x.if it is false,explain why or given an example that shows it is false.
if f(x) < 0, then 0 < x <1.

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MechEngineer

Answer:

True

Step-by-step explanation:

This is true. Because ln x is determined that if f(x) = lnx then

[tex]e^{f(x)} = x[/tex]

So if f(x) < 0, negative then

[tex]e^{f(x)} = \frac{1}{e^{-f(x)}}[/tex]

where -f(x) is positive and

[tex]e^{-f(x)} \geq 1[/tex] and positive

So [tex]\frac{1}{e^-f(x)} < 1[/tex]and positive

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