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?

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Shua123 Shua123 · Answer 1 · 2018-10-16T20:47:57+02:00

Answer:

The answer is h(g(5))

or 7680

Step-by-step explanation:

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

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wagonbelleville wagonbelleville · Answer 2 · 2019-02-13T09:25:46+01:00

Answer:

771 points

Step-by-step explanation:

We are given that,

The function representing the set of points needed is [tex]g(x) = 8(2)^x + 1[/tex]

The function representing the hard level is [tex]h(x) = 3x[/tex].

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, [tex]h(g(x))[/tex].

So, we have,

[tex]h(g(x))[/tex] = [tex]h(8(2)^x+1)[/tex] = [tex]3\times (8(2)^x+1)[/tex]

Now, when x= 5, we have,

[tex]h(g(5))[/tex] = [tex]3\times (8(2)^5+1)[/tex]

i.e. [tex]h(g(5))[/tex] = [tex]3\times (256+1)[/tex]

i.e. [tex]h(g(5))[/tex] = [tex]3\times 257[/tex]

i.e. [tex]h(g(5))[/tex] = [tex]771[/tex]

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