Hyperbolic Sine Function

[greatwhiteshark]

The hyperbolic sine function, designated by sinh x, is defined as
sinh x = 1/2 TIMES e^x - e^-x.

a) Show that f(x) = sinh x is an odd function.

 

[Guest]

Definition of odd function:

. . . . f is odd iff f(x) = -f(-x) for all x in the domain of f.

Find -f(-x), and show that it's the same as f(x).

 

[greatwhiteshark]

tell me...

Is this the entire prove or just a hint?

 

[Guest]

Have I shown that f(x) = -f(-x)?