Question

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.

Answer 1

Answer:

True

Step-by-step explanation:

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

$e^{f(x)} = x$

So if f(x) < 0, negative then

$e^{f(x)} = \frac{1}{e^{-f(x)}}$

where -f(x) is positive and

$e^{-f(x)} \geq 1$ and positive

So $\frac{1}{e^-f(x)} < 1$and positive