Find C and a so that ​f(x)= Ca^x satisfies the given conditions. ​f(0)=13​, ​f(1)=39

Answer 1

Since f(0) = 13, f(0) = Ca⁰ = C(1) = C = 13

So, f(x) = 13a^x

Since f(1) = 39, 13a¹ = 39. So, a = 3.

Therefore, f(x) = 13(3^x)