h(x)=ab^x

h(2)=ab^(2)=22

h(4)=ab^(4)=14.08

Divide the 2nd equation into the 1st to get:

b^(0.5)= (22/14.08)=1.5625

b=2.4414

Substitute that into ab^2=22

a(2.4414)^2=22

a=3.69

Solution is a=3.69; b=2.4414

You could check that answer in the equation ab^2=22

3.69*2.4414^2 = 22