An exponential function g(x) that passes through (-1,64) and (2,1), Write the equation for the function.

Question

Pleaseeeeee help me with my homework i dont know how to do this with the -1 or know if its the same formula as i did the other ones

Answer 1

g(x) = ab^x

Set up 2 equations using those coordinate points.

64 = ab^-1

1 = ab²

Divide equation 2 by equation 1

b³ = 1/64

b = 4

Solve for a by plugging in b value in the second equation.