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Two separate bacteria populations that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the f(x) population exceed the g(x) population?

Two separate bacteria populations that grow each month at different rates are represented by the functions fx and gx In what month does the fx population exceed class=

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Poltergeist

Answer:

The function f(x) exceeds g(x) in the 4th month.

Step-by-step explanation:

The function  [tex]f(x)=3^x[/tex] exceeds [tex]g(x)=7x+6[/tex] population when

[tex]f(x)> g(x)[/tex]

or when

[tex]3^x> 7x+6[/tex].

To solve for [tex]x[/tex], we graph this inequality.

From the graph we see that [tex]f(x)[/tex] exceeds [tex]g(x)[/tex] when

[tex]x>3[/tex]

Therefore, function [tex]f(x)[/tex] has greater value than [tex]g(x)[/tex]  in the 4th month .

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