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Kay [80]
4 years ago
10

Help Please, anyone good at domain values of composite functions.

Mathematics
1 answer:
spayn [35]4 years ago
7 0

Answer:

second choice

Step-by-step explanation:

First, do the composition of the functions.

(f \circ g)(x) = f(g(x))

= f(\sqrt{x + 3})

(f \circ g)(x) = -8\sqrt{x + 3} - 4

Now we find (fog)(9).

(f \circ g)(9) = -8\sqrt{9 + 3} - 4

(f \circ g)(9) = -8\sqrt{12} - 4

(f \circ g)(9) = -16\sqrt{3} - 4

(fog)(9) evaluates to a real number, so 9 is in the domain of the composition of functions f and g.

Answer: second choice

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The world's largest marathon, The New York City Marathon, is held on the first Sunday in November each year. Between 2 million a
e-lub [12.9K]

Answer:

<u>25%</u> is the percent error.

Step-by-step explanation:

Given:

The world's largest marathon, The New York City Marathon, is held on the first Sunday in November each year. Between 2 million and 2.5 million spectators will line the streets to cheer on the marathon runners.

Now, to find the percent error.

As given, between 2 million and 2.5 million spectators will line the streets to cheer on the marathon runners.

<em>The actual measure</em> = 2 million.

The estimated measure = 2.5 million.

<em>So, the error</em> = 2.5-2=0.5\ million.

Now, to get the percent error:

\frac{0.5}{2} \times 100.

=0.25\times 100

=25\%.

Therefore, 25% is the percent error.

7 0
3 years ago
Im so happpyyyyyyyyyyyyyyy i love my lifee
Contact [7]

Glad you're happy.


Q18


360 = 0.2 a


a = 360 / .2 = 5(360)= 1800 audience members


Q19


Assuming the information is consistent we ignore the trapezoid; we have two triangles base 1.1 height 3.8 so the area for the pair is 2 (1/2) (1.1) (3.8) = 4.18 sq inches.


Q20


6(5)^2 - 5(4) + 8 = 6(25) -20 + 8 = 150 - 20 + 8 = 138


Q21


This is an LCM or least common multiple problem


LCM(12,8) = LCM(3(4),2(4))=3(2)(4)=24 weeks





8 0
4 years ago
Read 2 more answers
Henry and his brother each start a savings account. Henry begins with $200 and deposits $25 each month. His brother begins with
DiKsa [7]

Answer:

5 months

Step-by-step explanation:

Henry

200+25+25+25+25+25= 325

Brother

150+35+35+35+35+35=325

3 0
3 years ago
Witch of the functions below could possibly have created this graph? A.f(x)-x^5+2x^4-3x B.f(x)=-1/3x^4+7x^2+15 C.f(x)=1.9x^8+15x
soldi70 [24.7K]

B.f(x)=-1/3x^4+7x^2+15

Step-by-step explanation:

You can use a graph tool to graph the function a visualize the behavior.

Using a graph tool, the function,.f(x)=-1/3x^4+7x^2+15 could possibly have created the graph. See attached graph for the function.

Learn More

Graphs of polynomial function: brainly.com/question/12373761

Keywords: functions, created, graph

#LearnwithBrainly

3 0
3 years ago
Given that events A and B are independent with P(A)=0.24P(A)=0.24 and P(B|A)=0.85P(B∣A)=0.85, determine the value of P(B)P(B), r
NemiM [27]

Answer:

P(B) = 0.85

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

P(A) = 0.24, P(B|A) = 0.85

These events are independent.

This means that P(A \cap B) = P(A)*P(B). So

P(B|A) = \frac{P(A \cap B)}{P(A)}

P(B|A) = \frac{P(A)*P(B)}{P(A)}

P(B|A) = P(B)

So

P(B) = 0.85

5 0
3 years ago
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