Find the exponential function f(x)=Ca^x which satisfies the following conditions: f(3)=1/64 and f(−1)=64

Question

What does f(x) = ? I need the precise value

Answer 1

f(x) = Ca^x, two solutions are (3, 1/64) and (-1, 64)

1/64 = Ca³

64 = Ca^-1

1/ 64² = a⁴

1 / 8 = a

f(x) = C(1/8)^x

Now substitute either pair to determine C.