Thread: Interval

Hello.

i know g(0) = 1 and g(x) = 0 , iff

What do we know about g(x-2) for example?

It is g(2-2) = 0, but what about g=0?

Is it g(x-2) = 0,

or

g(x-2) = 0, ??

I am not sure about it.

Rapha

Remember g(x-2) is a translation to the right by 2 so


g(x-2) = 0, ??

is correct. For eg if x= -a+2 g(-a+2-2) = g(-a) = 0

if x = a+2 g(a+2-2) = g(a) = 0 as it should

On the other hand Consider
g(x-2) = 0,

Then if x = a-2 you would have g(a-4)= 0 which would not be true for
a = 4

Alright, thank you, mate