Each of the statements below is true for real values of x In

Each of the statements below is true for real values of x|. Indicate which is true and which is false if real X is replaced by the more general complex e^-x = 1/e^x| e^x| is defined for all x|. e^x| is never zero e^x| is a one-to-one function.

Solution

1.e^-x=1/e^x

this statement is true since a^-n=1/aⁿ

2.e^x is defined for all x

this statement is true since e^x exist for all x

3.e^x is never zero

this statement is true

4.e^x is a one-one function

this statement is true since e^x unique value for every x