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

True

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)) = (1)/(e^(-f(x)))`

where -f(x) is positive and

`e^(-f(x)) \geq 1` and positive

So
`(1)/(e^-f(x)) < 1`and positive