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3 years ago

11

The function h (x) = StartFraction 1 Over x squared + 1 EndFraction is the result of the composition f(g(x)). If g(x) = x2 + 1,

what is f(x)

1 answer:

dem82 [27]3 years ago

7 0

Answer: 1/x

Step-by-step explanation:

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HELP ME !!!!!!! Which of the following best describes a single fixed point that is the same

s344n2d4d5 [400]

Answer:

C. Focus

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2 years ago

At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col

yan [13]

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function $B(t)=9(3)^t$ . We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

Upon substituting our given values, we will get:

$\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}$

$\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}$

$\text{Average rate of change}=\frac{9(729)-9(1)}{6}$

$\text{Average rate of change}=\frac{6561-9}{6}$

$\text{Average rate of change}=\frac{6552}{6}$

$\text{Average rate of change}=1092$

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

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3 years ago

URGENT Match each ratio of the volumes of two solids to the pair of solids it represents.

Anarel [89]

1. cylinder to cone:
(πr^2h)/((1/3)πr^2h) = 3:1

2. sphere to cylinder:
((4/3)πr^3)/(πr^2h) = 4r:3h

3. cone to sphere:
((1/3)πr^2h)/((4/3)πr^3) = h:4r

4. hemisphere to cylinder:
half the ratio of sphere to cylinder = 2r:3h

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3 years ago

For (x)=3x+1 and g(x)=x^2 -6, find (f+g)(x)

julsineya [31]

Answer:

<h2>(f + g)(x) = x² + 3x - 5</h2>

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\f(x)=3x+1;\ g(x)=x^2-6\\\\(f+g)(x)=(3x+1)+(x^2-6)=x^2+3x+1-6=x^2+3x-5$

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3 years ago

How do u do parabola

alekssr [168]

Answer:

Step-by-step explanation:

Finding the vertex or the end of the shape.

Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .

Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist.

Make sure that you've got at least one point to either side of the vertex. ...

Sketch the graph.

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3 years ago