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
8

To determine whether the inverse of a function is a function you can perform the horizontal line test.

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

\boxed{\text{TRUE}}

Step-by-step explanation:

If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.

For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.

However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.

You might be interested in
What is the average rate of change from -3 to 0 of the function represented by the graph?
lbvjy [14]

Average rate of change = change in y ÷ change in x

We already know the change in x because we are measuring the x values from -3 to 0.

change in x = 0-(-3) = 3

To find the change in y find the difference between the corresponding y-values when x=0 and when x=-3.

change in y = 0.5-2 = -1.5

average rate of change = -1.5/3 = -0.5

answer: -0.5

3 0
3 years ago
The quotient of 2 and a number subtracted from 17
Anna11 [10]
The answer to this question is 6
7 0
3 years ago
Katie has a bag of 15 marbles. There are 3 green, 4 blue, and 5 red marbles. The rest of the marbles are yellow. If Katie random
son4ous [18]

Answer:

P(yellow or red)   =8/15

Step-by-step explanation:

There are 15 marbles, 3 green, 4 blue, and 5 red marbles.

3+4+5 = 12

That means there are 15-12 = 3  3 yellow marbles.

3 green,

4 blue

5 red

3 yellow

To find the probability of yellow or red, we add the number of yellow and red marbles together over the total number of marbles

P(yellow or red) = (yellow +red)/ total

                           = (3+5)/ 15

                             =8/15

8 0
3 years ago
PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi
Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

Hypotenuse^2=Base^2+Perpendicular^2

⇒ 5^2=3^2+4^2

Let a, b, c forms a Pythagorean triplet

a^2+b^2=c^2

Multiplied by 4 on both sides

⇒ 4a^2+4b^2=4c^2

⇒ {2a}^2+{2b}^2={2c}^2

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

4 0
3 years ago
Read 2 more answers
2. You get a summer job that pays 14.50 per hour, with a summer bonus of $100. What expression
Virty [35]
100+(14.50•x) hope that helps
3 0
3 years ago
Other questions:
  • Someone please help me, this is dealing with the pythagorean theorem
    11·1 answer
  • How do I factor x^4-5x^2+6?
    13·1 answer
  • Complete the square to rewrite y = x2 – 6x + 5 in vertex form. Then state whether the vertex is a maximum or a minimum and give
    7·2 answers
  • Find the terminal point on the unit circle determined by 5pi/4 radians
    12·1 answer
  • I REALLY NEED HELP
    12·1 answer
  • Five more than twice a number is 7
    12·1 answer
  • Answer this question here :))
    9·1 answer
  • A number cube with the numbers 1 through 6 is rolled. Find the given probability
    6·2 answers
  • Please help!:) no links<3
    8·1 answer
  • Identifying an Error
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!