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
Nitella [24]
2 years ago
7

How is domain of the function f(x)=cosx restricted so that its inverse function exists?

Mathematics
1 answer:
DIA [1.3K]2 years ago
6 0

Answer:

  see below

Step-by-step explanation:

The largest interval for x ≥ 0 where cos(x) passes the horizontal line test is [0, π]. Hence the domain must be restricted to that interval if the function is to have an inverse that gives values in the range [0, π].

The domain of the function is the same as the range of the inverse function. Restricting the cos(x) function domain to x ∈ [0, π] restricts the range (functional values) of the inverse function to the same interval.

You might be interested in
The graph shows the function f(x).
Minchanka [31]

Explanation is in the file

tinyurl.com/wpazsebu

7 0
2 years ago
Can someone please answer. There is a picture. It is only one question. Thank you so much!
monitta
The legs of a right triangle are the sides that are connected to the 90 degree (right) angle.  The remaining side is called the hypotenuse.

Another way to look at it is the two legs of a right triangle are the two shorter sides.  The longest side is the hypotenuse.
5 0
3 years ago
Eight members of the Math club equally shared three pizzas. Expressed as a fraction,whAt part of a pizza did each member receive
Vera_Pavlovna [14]
3/8 of a pizza.

If you divide each pizza into eight parts, each member would receive 1/8 of one pizza. Since there are three pizzas, each member would receive three 1/8 of a pizza, or 3/8.

You can prove this answer by multiplying 3/8 by 8, to get 24/8 simplified to 3.
4 0
3 years ago
A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along
mina [271]

Answer:

The tip of the man shadow moves at the rate of \frac{20}{3} ft.sec

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

\frac{y - x}{y} = \frac{6}{15}

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = \frac{15x}{9\\} y = \frac{5x}{3}

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt} ----(1)

We are given \frac{dx}{dt} = 4 ft/sec. Plug in the equation (1), we get

\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0
3 years ago
A bicycle store costs ​$2700 per month to operate. The store pays an average of ​$65 per bike. The average selling price of each
vladimir2022 [97]

Answer:$90

Step-by-step explanation:

how much they sell for $95 minus how much they cost $65 equals $30 then divid how much rent is $2700 by the $30 equals $90

or

$95-$65=$30

$2700÷$30=90

7 0
3 years ago
Other questions:
  • C) work out the value of 3² + 2³ <br><br>d) work out the value of 2⁴ - 3²<br>​
    6·1 answer
  • In Exercise, find the derivative of the function.<br> y = ex - 4
    13·1 answer
  • Which formula below could be used to measure circumference of circle?Immersive Reader
    7·2 answers
  • Help with these please
    14·2 answers
  • 1+ 30 = GIVEAWAY! plz freind meh
    12·2 answers
  • All changes saved
    6·1 answer
  • 1¿cuantos cubos tengo si una figura tiene de base 6,altura 4 y ancho 2?
    14·1 answer
  • Write 4 3/5<br> as an improper fraction.
    12·2 answers
  • Write the equation of the line in fully simplified slope-intercept form.
    9·1 answer
  • The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!