Function Question

[gmat2013gmat]

If f(x)=(f(x−2))(f(x−1))(x) forx>0 and f(x)=1 for all x

 

Part of the solution advises to fill in the first few terms:

 

f(0) = 1

f(1) = 1

f(2) = f(1) * f(0) * 2 = 1 * 1 * 2 = 2

etc.

 

However, I don't understand how they came to f(0) = 1, when I calculate it I get zero. here's my work f(0) = (f(0-1)*(f(0-1)(0) = 0...i know in the question stem it says that x>0 but how can you get 1 from f(0) when you fill in the function and get zero and not one...what am I doing wrong?

 

Any input would be greatly appreciated.

 

 

f(5

x

[Brent Hanneson]

The question tells us that f(x)=1 for all x

This is how the function f is defined.

 

Cheers,

Brent