Question

A video game sets the points needed to reach the next level based on the function g(x) = 8(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 5?

Answer 1

The answer is h(g(5))

or 7680

Explanation:

substitute all X's for 5 and then multiply h times g

Answer 2

771 points

Explanation:

We are given that,

The function representing the set of points needed is
`g(x) = 8(2)^x + 1`

The function representing the hard level is
`h(x) = 3x`.

It is required to find the number of points of a player on a hard setting.

That is, the composition of the function will be,
`h(g(x))`.

So, we have,

`h(g(x))` =
`h(8(2)^x+1)` =
`3* (8(2)^x+1)`

Now, when x= 5, we have,

`h(g(5))` =
`3* (8(2)^5+1)`

i.e.
`h(g(5))` =
`3* (256+1)`

i.e.
`h(g(5))` =
`3* 257`

i.e.
`h(g(5))` =
`771`

Thus, for the hardest setting of level 5, the player will need 771 points.