Find a formula for the exponential function Subject precalculus help me please

Question

Find a formula for the exponential function passing through the points ( − 2 , 2/9 ) and (1,6)

f ( x ) =

Answer 1

f(x) = ab^x; f(-2) = ab^-2 = 2/9 and f(1) = ab = 6; a = 6/b; 6/b·b^-2 = 2/9; 2b³ = 54; b³ = 27; b = 3 and a = 6/3 =2.

So, f(x) = 2·3^x