the answer:
the main formula which should be used to reply this is:
g(x) - h(x) = (g-h) (x)
if the question does mean g(x) = 3(2 ^ x )
k(x)= (g – h)(x) = 3(2 ^x ) - 2 ^(x+1)
and we know that because of a^x+p = a^*a^p
=3(2 ^x ) - 2 ^(x)2^1=(2 ^x )(3 - 2^1)
=(2 ^x )(3 - 2^1)= 2 ^x
the answer is k(x) = 2^x
