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]
2 years ago
10

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

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

Answer:graph 3

Step-by-step explanation:

Vika [28.1K]2 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
The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. What is the function written in vertex form?
pychu [463]
F(x) = 5(x + 4) – 80
f(x) = 5(x + 8) – 80
f(x) = 5(x + 4)2 – 80
f(x) = 5(x + 8)2 – 80
4 0
2 years ago
What is an algebraic expression for 58 less than a number n?
Korvikt [17]

Answer:

n-58

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Evaluate the expression.<br> Drag the answer into the box to match the expression.
Lelu [443]

27.((3^{3})^{-1}  = 27.(27)^{-1} = 27 .\frac{1}{27} = 1

This is because 3^{3} = 3 x 3 x 3 = 9 x 3 = 27

And (27)^{-1}  means  \frac{1}{27}

For this reason, 27. (27)^{-1} = 1

Positive indices mean we have to multiply the same number twice or thrice based on the value of the index. On the other hand, negative indices mean we have to divide by the same number twice or thrice based on the value of the index.

5 0
2 years ago
Read 2 more answers
A table is on sale for 464 , which is 36% less than the regular price.
viva [34]
The original price was 725.
Explanation:
"36% less than" means taking 36% away from 100%. 100-36 is 64, so 64% remains when 36% is taken away. So, 64% of the original table's price is 464.
So, if the original price was x, 464=0.64x
Solve this by dividing both sides by 0,64:
725=x
So, the original price was 725.
3 0
3 years ago
What are the partail products of 42×28
OLEGan [10]
1,176. Your Welcome!!!
6 0
3 years ago
Other questions:
  • #15: Which point in the number line below represents the number opposite the number -5 1/2?
    13·1 answer
  • Martin charges $10 for every 5 bags of leaves he rakes. Last weekend he raked 24 bags of leaves. How much money did he earn?
    5·1 answer
  • Jessica scores 1825 on the sat. ashley scores 28 on the act assuming that both tests measure the same thing who has the higher s
    5·1 answer
  • . A mason has 7,758 bricks that he needs to share equally among 9 different building sites. How many
    12·2 answers
  • 40% of college students scored more than 70% on a math test 120 students scored below that how many total students took the math
    15·1 answer
  • Write an algebraic
    15·1 answer
  • Write the expression (a+4) /7 in words
    7·2 answers
  • Which transformation of a scalene triangle produces an image that is similar, but not congruent, to the original
    10·2 answers
  • How do you simplify 1 17/18
    5·1 answer
  • A cylinder has a radius of 5x + 4 and a height of 2x + 5. Which polynomial in standard form best describes the total volume of t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!