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?

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

Step-by-step explanation:

The function   exceeds population when

or when

.

To solve for , we graph this inequality.

From the graph we see that exceeds when

Therefore, function has greater value than  in the 4th month .

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

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step-by-step explanation:

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