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
horsena [70]
3 years ago
10

PLEASE HELP!!! Which graph shows a function whose inverse is also a function?

Mathematics
2 answers:
RideAnS [48]3 years ago
4 0

Answer:graph 3

Step-by-step explanation:

Vika [28.1K]3 years ago
3 0

Answer:

Graph 3

Step-by-step explanation:

A function is a relation between to sets, Domain and Range, such that for every element in the domain there is one and only one image in the range. This definition implies basically that, given the x's in the domain, any value x on the domain must have only one image. Thus, lets analyze the graphs and identify which has a f^(-1)(x) that fulfills this condition.

In the first we can see that, for example, x=-3 has two images one of about -0.3 and other of about 0.5. We notice that because the curve passes trough x=-3 more than one time. So, this is not a function.

In the second. Again, we can see that there are values of x with two images. More precisely, every x < 1 has to images, one positive and one negative. If you draw a vertical line in every x<1 you can see it will cut the curve twice, while a function only does it once.

In the third we do have a function. Pick f^-1 and try to draw a vertical line in every x, you will see that it only cuts f^1 once, so every x has only one image. This is because we are working with linear functions. Linear functions (with slope different from 0) always have inverse functions in its domain.

Finally, the fourth graph does not has a inverse function. Similar to what happened in graph 2, take every x > 1 and see that those x will have 2 images by tracing a vertical line in every x.

So, only graph 3 has an inverse function.

You might be interested in
What is -4 3/10 - 8 3/10
nadya68 [22]

Answer:

-12 3/5

Step-by-step explanation:

-4 3/10 - 8 3/10

The signs are the same so we add and then take the sign

4 3/10 + 8 3/10

Add the whole numbers

4+8 = 12

Add the fractions

3/10 + 3/10 = 6/10

Simplify the fraction

6/10 = 3/5

Put them together

12 3/5

Add the sign

-12 3/5

4 0
2 years ago
Read 2 more answers
In a soup kitchen, 22 pounds of rice was used during the lunch. If 110 people came to have lunch, about how many pounds of rice
il63 [147K]

Answer:

0.2 pounds of rice

Step-by-step explanation:

To find how much rice was used by each person, divide 22 by 110

22/110

= 0.2

So, each person used 0.2 pounds of rice

4 0
2 years ago
Which of the following is not a way to represent the solution of the inequality 8x – (5x + 4) 2-31?
Butoxors [25]

Answer:

caca sh

Step-by-step explanation:

shart

7 0
2 years ago
Whats the rule for the pattern 8,6,9,7,10.....?
Delicious77 [7]

Answer:

subtract 2 and add 3

Step-by-step explanation:

8-2=6

6+3=9

9-2=7

7+3=10

4 0
3 years ago
Given the quantic solve for x . 2x⁵-6x³-4x²+2x+4​
Eva8 [605]
This problem cannot be done because it is not an equation meaning it does not have an “=“
4 0
2 years ago
Other questions:
  • Calculators are sold to students for 20 dollars each. Three hundred students are willing to buy them at that price. For every 5
    9·2 answers
  • Suppose that partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?
    11·2 answers
  • (x*2y*4z)*5 (xy)*2<br> Simplify expression
    11·2 answers
  • Evaluate 5214 ÷ 39 ​
    5·1 answer
  • Find the slope for the following pair of points:<br> (12,-16) and (3,0)
    14·2 answers
  • A flagpole stands perpendicular to the ground. It is supported by a 20-foot cable that runs from the top of the flagpole to the
    9·1 answer
  • F(t) 2t-3<br> F(7)=?<br> What does f(7) equal?
    9·2 answers
  • Find the area of the figure below, formed from a triangle and a parallelogram.
    6·1 answer
  • Simon wants to buy some flowers He goes into a flower shop and buys 7 daffodils and 6 daisies Simon wants to know the cost of da
    5·1 answer
  • Which equation represents the rectangular form of theta = 5Pi/6
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!