You have two exponential functions. One function has the formula g (x) = 3 (2 x). The other function has the formula h (x) = 2 x+1. Which option below gives formula for k (x) = (g - h) (x) ? k (x) = 2x k (x) = 5 (2x) k (x) = 5 (2x+1) k (x) = 2

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