Question

A video game sets the points needed to reach the next level based on the function g(x) = 12(2)x − 1, where x is the current level. The hardest setting promises to multiply the points needed in each level according to the function h(x) = 3x. How many points will a player need on the hardest setting of level 6?

Answer 1

g(x)  = 12(2)x - 1

 h(x)  = 3x  

 We are looking for this :

 g(6) * h(6)     ....so we have....

 12(2)6-1  * 36   =

 12(2)5  * 729  =

 12*32 * 729   =  279,936 points