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?
18 points
384 points
4020 points
6912 points

Answer 1

In the function g(x) the exponent is (x - 1), so g(x) = 12 * 2 ^ (x -1)

h(x) = 3x

So, you have to find the product f(x) * h(x) for x = 6

f(6) = 12 * 2 (6 -1) = 12 * 2(5) = 12 * 32 = 384

h(6) = 3(6) = 18

f(6) * h(6) = 384 * 18 = 6912

Answer: 6912