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]
3 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]3 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
When you find the surface area of a cube, you ________ the length of the cube and multiply by 6.
ryzh [129]

Answer:

A-square

Step-by-step explanation:

example:

sa=(4cm)^2x6

sa=16x6

sa=96

3 0
2 years ago
What kind of circle is used when graphing​
slega [8]
Closed, because it’s included (has Or Equal To)
5 0
2 years ago
Read 2 more answers
To discourage guessing on the multiple-choice exam a professor assigned 4 points for a correct answer, -4 points for an incorrec
Zanzabum

Answer:

35

Step-by-step explanation:

4 x 15 = 60

-4 x 5 = - 20

-1 x 5 = -5

60 - 20 - 5 = 35

8 0
3 years ago
Read 2 more answers
What relations are functions
Inessa05 [86]

The requirement is that every element in the domain must be connected to one - and one only - element in the codomain.


A classic visualization consists of two sets, filled with dots. Each dot in the domain must be the start of an arrow, pointing to a dot in the codomain.


So, the two things can't can't happen is that you don't have any arrow starting from a point in the domain, i.e. the function is not defined for that element, or that multiple arrows start from the same points.


But as long as an arrow start from each element in the domain, you have a function. It may happen that two different arrow point to the same element in the codomain - that's ok, the relation is still a function, but it's not injective; or it can happen that some points in the codomain aren't pointed by any arrow - you still have a function, except it's not surjective.

6 0
3 years ago
3 intersecting lines are shown. A line contains points E, D, A, and B. Another line intersects the line at point A and contains
GREYUIT [131]

Answer:

The one with arrows are the answers

->Line segment E B  is bisected by Line segment D F .

->A is the midpoint of Line segment F C .

Line segment F C  bisects Line segment D B.

->Line segment E B  is a segment bisector.

->FA = One-halfFC.

Line segment D A is congruent to Line segment A B .

Step-by-step explanation:

I did it on edge and got it right

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the domain of the given function
    9·2 answers
  • Find the y-intercept and x-intercept of the line.
    10·1 answer
  • Find the fifth roots of 32(cos 280° + i sin 280°).
    7·1 answer
  • Mike buys a perpetuity-immediate with varying annual payments. During the first 5 years, the payment is constant and equal to 10
    5·1 answer
  • Nancy and Kevin collect coins. Nancy has x coins. Kevin has 4 coins fewer than two times the number of coins Nancy has. Write an
    7·2 answers
  • Anyone know this answer
    6·1 answer
  • Find the zero of the polynomial x² - 4x + 3​
    5·1 answer
  • The midpoint of a segment with endpoint (8, a) and (b, 4) is (−1, −1).
    9·1 answer
  • Simplify the expression. 3.6 - 3.1n -2n + 5
    7·2 answers
  • Help me free brainleist if you help
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!