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?

A 18 points
B 384 points
C 4020 points
D 6912 points

Answer 1

I believe the x-1 is suppose to go in an exponent, so g(x) = 12(2)^(x-1). In this case, we're just going to plug in 6 for x in both g(x) and h(x) to get the total amount of xp. g(6) = 12(2)^(6-1) = 384, then h(6) = 3(6) = 18, so g(6)*h(6) = 384*18 = 6912, so D is the correct answer. Let me know if it was written differently than I interpreted it, tried it a few different ways until I got it to work.