Functionsssssss

hallo,

the thing about functions is recognising what values to attempt and know the direction to go in.

here,

we know f(x+y) = f(x) * f(y)

know that since x and y are real, so we can write anything in a manner of a sum or two real numbers.

whats important in this question is recognising that since 1=3-2

we can rewrite f(1) as f(3+ (-2))

as per given equation this is equal to f(3) * f(-2)

finding f(3) is easy, as 3= 2 + 1

and f(2) = f(1)*f(1) = 4

so f(3) = 4*2=8

substituting this into our rewritten form of f(1) -> f(1)=f(-2)*f(3)

we get 2=f(-2)*8

hence f(-2) = 2/8=1/4

hope this helps :)

this is a direct identity, if the function is of this form than it becomes a^x

so a^1=2 this implies a is 2 , so a^(-2)= 2^(-2)= 1/4