# Let f be a function that is positive and differentiable for all x. Function has 2 properties: 1) f(a+b)=f(a)+f(b)/f(-a)+f(-b), for all a,b Є R 2)f'(0)=-1 Part 1: Find the value of f(0) Part 2: show that f(-x)=1/f(x) ?

##### 1 Answer

Mar 8, 2018

#### Answer:

Please see below.

#### Explanation:

Part 1:

Use

Part 2

Use

Solve for