Thank you for the opportunity to help you with your question!

assume that f = a*b^x

then we have f(1)/f(0) = b = 1/2

f(0) = a = 0.5

f(x) = 0.5*(1/2)^x

f(-2) = 0.5*(1/2)^(-2) = 0.5*4 = 2 but we have f(-2) = 4, so answer is DNE

similarly

assume g(x)= a*b^x

b = g(1)/g(0) = 1/2

a = g(0) = 100

g(x) = 100*(1/2 )^x

g(2) = 100*(1/2)^2 = 25

but we have g(2) = 10, so answer is DNE

This makes much more sense now that I can actually see that the answer DNE. Thanks for taking the time to help me out!

you are welcome

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