Question

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

Answer 1

k(x)=2x^{+1}

Explanation:

Answer 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