1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svetoff [14.1K]
3 years ago
13

Given f(x)=cos c and g(x)=cot x, what are the domain and range of f(g(x))?

Mathematics
1 answer:
ololo11 [35]3 years ago
8 0

Answer:

Alternative C is the correct answer

Step-by-step explanation:

The first step is to determine the composite function;

f[g(x)]

f[g(x)]=cos[cot(x)]

We then employ a graphing utility to determine the range and the domain of the new function.

The range is the set of y-values for which the function is defined. In this case it is;

[-1,1]

On the other hand, the domain refers to the set of the x-values for which the function is real and defined. In this case; it is the set of real numbers x except x does not equal npi for all integers n.

You might be interested in
In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to
solniwko [45]

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

5 0
3 years ago
A circular racetrack has a diameter of 1/2 mile. How far does a car travel in one lap around the track? Round to the nearest ten
dlinn [17]
Given:
Circular racetrack with a diameter of 1/2 mile

Find: how far does a car travel in one lap around the track?

We need to find the circumference of the racetrack.

Circumference is multiplying pi to the diameter of the racetrack.

Circumference = 3.14 * 1/2 mile
Circumference = 3.14/2 mile
Circumference = 1.57 miles rounded to the nearest tenth is 1.60 miles.
7 0
3 years ago
What does the digit 2 represent in 701,280
dlinn [17]

Step-by-step explanation:

hundreds

3 0
3 years ago
Write an expression to represent volume of the composite figure.
ohaa [14]
V1 + V2

V1 = 1*2*1 = 2

V2 = 5*2*2 = 20

V1 + V2
2+20
22
7 0
3 years ago
Please help Maggie's brother is 3 years younger than twice her age. The sum of their ages is 30.
denpristay [2]
I’m not sure if this is correct but this is the way i would solve it.

first, make an equation with the given information

2x-3=30

Then, add three to both sides

2x=33

Finally, divide both sides by 2

x= 16.5


x represents the age of maggie so all you have to do is plug the solution into the equation to check your answer.

2(16.5)-3= 30
7 0
3 years ago
Read 2 more answers
Other questions:
  • at the bead shop, there are 25 rows of beads. if there are 320 beads in each row, how many beads are in the shop?
    11·2 answers
  • A boxcar has the dimensions shown. A model of the boxcar is 1.25 inches wide. Find the length of the model to nearest inch.
    6·1 answer
  • The height of a mountain is 6,384 meters. What is its height in millimeters? 6,384,000 mm 638,400 mm 63.84 mm 6.384 mm
    7·2 answers
  • Which expression is equivalent to -2(3a + 6b) + (4a - 2b)?
    6·1 answer
  • Find the product <br> -3 x 4 x (-1)
    13·2 answers
  • -6x-10=20<br><br> Show me the steps.
    12·1 answer
  • The least common denominator of 3/2 and 2/3 is
    10·2 answers
  • What is green and blue? HELP
    5·1 answer
  • When solving an equation, Gabrielle's first step is shown below. Which property
    9·1 answer
  • The table below shows how the age of a certain tree is related to the diameter
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!