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
Aleksandr [31]
3 years ago
8

Let ff be the function that assigns to each student in the class her biological mother.

Mathematics
1 answer:
hoa [83]3 years ago
8 0

Answer:

a) There cannot be sibling in the class.

b) This larger function would have an inverse only if there are no siblings studying in the same school.

Step-by-step explanation:

The inverse of a function f is a function g that "reverses" f. In other words, if the function f is applied to an x and it gives a result of y, then applying the function g to y gives the result of x.  f(g(x)) = x.

For a function f to have an inverse, the function f has to give only one value y, when applied to an x.

a. In order for f to have an inverse, what condition must be true about students in the class?

So now, we have that f assigns each student in the class her biological mother.

Therefore, the set of X formed by the students in the class

And Y refers to their biological mother.

If we want f to have an inverse, then each mother should be assigned to only one student.

This means that the condition that must be true is that there cannot be brothers/sisters in the same class (for example, twins).

b.  If we enlarged the domain to include all students in the school, would this larger domain function have an inverse.

Applying the same thinking, for f to have an inverse, every mom should be assigned to only one student.

Therefore, for this larger domain, there shouldn't be brothers/sisters studying in the same school.  

You might be interested in
. $1000 was invested into an account with k = 12, r = 6%. How long one needs to wait until it
Natali5045456 [20]

Answer:

.

Step-by-step explanation:

.

3 0
2 years ago
Jalyn collected 24 stones. She put them in 4 equal piles. How many stones are in each pile?
ZanzabumX [31]

Answer:

6

Step-by-step explanation:

This is basically 24 divided by 4 since he/she is dividing 24 into 4 equal groups.

24/4=6

3 0
3 years ago
Read 2 more answers
Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive
Bond [772]
<h2><u>Solution (1)</u> :</h2>

Given, to find A we have to :

  • square m
  • Add y to m²
  • Subtract 7 from m² + y

From the question, the following equation can be formed :

=\tt  A = {m}^{2}   + y - 7

Therefore, the formula for finding A = m² + y - 7

<h2><u>Solution (2)</u> :</h2>

The value of A we can derive from the formula is :

=\tt A =  {m}^{2}  + y - 7

Value of m = 3 (given)

Which means :

=\tt A =   {3}^{2}  + y  - 7

=\tt \: A = 9 + y - 7

=\tt A = 9 - 7 + y

\color{plum} =\tt A = 2 + y

Thus, the value of A = 2+y

Therefore, the value of A = <u>2+y</u>

7 0
2 years ago
Find an equation of the circle that satisfies the given conditions:
Anna71 [15]
<span>Given the two end of the diameter of the circle, we are able to compute the center of the circle as 0.5*[(-1,3)+(7,-7)]=(3,-2). The radius of the circle is 0.5*sqrt[(-1-7)^2+(3+7)^2]=sqrt(41). Therefore the equation of the circle is (x-3)^2+(y+2)^2=41.</span>
5 0
3 years ago
In the diagram shown overline AD and intersect at point E. overline AB and overline CD are parallel . Given the segment length s
Harrizon [31]

Answer:

11.25

Step-by-step explanation:

Since AB and CD  are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B.  Therefore the two triangles are similar by the AA postulate.  Now, the corresponding sides are in proportion

Since AE ↔ DE and AB ↔ CD

So, AE/CD = AB/CD

AE/5 = 9/4

AE = 9(5)/4

     = 45/4  = 11.25

8 0
2 years ago
Other questions:
  • What would you want to measure the length of a flag pole in?
    14·1 answer
  • In the figure below, find the length of segment XY if XV=1/2X+8 and ZY=2(x-8)
    5·1 answer
  • . (15.4) A thin lamina is formed by considering the region inside the circle x 2 + y 2 = 6y and outside the circle x 2+y 2 = 9.
    7·1 answer
  • Find the length of side AB Give your answer to 1 decimal place
    5·1 answer
  • HELP 2 math questions 20 points
    10·1 answer
  • What is the answer to this please help im stumped thanks 2(42 + 10) =
    11·2 answers
  • Helppp please I need help ASAP!!!!!
    10·1 answer
  • Find the value of the variable​
    10·1 answer
  • 1 Determine the volume of the square pyramid shown. Give an exact answer.
    10·2 answers
  • YOU CAN BUY 5 BANANAS FOR $2.50. HOW JAST
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!