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
marissa [1.9K]
3 years ago
14

Help please!!!!!!!! It’s pre cal

Mathematics
2 answers:
tino4ka555 [31]3 years ago
6 0

Answer:

No, the inverse function does not pass the vertical line test.

Step-by-step explanation:

Remember that h(x)=y. To find the inverse of our function we are going to invert x and y and solve for y:

h(x)=x^2+3

y=x^2+3

x=y^2+3

x-3=y^2

y=\pm\sqrt{x-3}

h^{-1}(x)=\pm\sqrt{x-3}

Now we can graph our function an perform the vertical line test (check the attached picture).

Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.

As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.

We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.

11111nata11111 [884]3 years ago
6 0

Answer:

a. No, the inverse function does not pass horizontal line test

Step-by-step explanation:

h(x) = x² + 3

y = x² + 3

y - 3 = x² ⇒  x² = y - 3

\sqrt{x^{2} } = \sqrt{y-3} \\x =  \sqrt{y - 3} , -\sqrt{y-3}

h^{-1} x = \sqrt{x - 3} , -\sqrt{x-3}[/tex]

The function h^{-1} x fails the horizontal line test, it is not a one to one function.

So, option a is correct

You might be interested in
PLEASE HELP 25 POINTS!!!
miss Akunina [59]

Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...

Explanation:

Here Given Sum to Infinity

\sf S \infty  \ =a_1  \ x \ \dfrac{1}{1-r}

Identify following

  • a1 = 2
  • r = 1/2

Solve:

\rightarrow \sf S \infty  \ =2  \ x \ \dfrac{1}{1-\frac{1}{2} }

\rightarrow \sf S \infty  \ =4

The sum of this infinity series is 4

5 0
2 years ago
Write x-7y=-7 in slope intercept form
kicyunya [14]
Answer: y=1/7x+1

Yayayayayaya
8 0
2 years ago
Read 2 more answers
Evaluate 3x2-1 when x=2
Nezavi [6.7K]
I would guess 61 in my school we only do things like this x4 - 5 x times four minus five so I don’t know if that’s right but that would be my guess if that isn’t right it would be 62 times 2
7 0
2 years ago
Read 2 more answers
What is (1. 6x 7. 3) (–0. 6x 2) – (7. 8 – 3. 4x), simplified? (1. 6x 7. 3) (–0. 6x 2) – (7. 8 – 3. 4x) 1. 6x 7. 3 – 0. 6x 2 – 7.
bekas [8.4K]

The simplified form of the equation is 4.4x + 1.5.

Given

Equation; (1.6x + 7.3) + (–0.6x + 2) – (7.8 – 3.4x)

<h3>Addition</h3>

The addition is the process of adding things together.

To simplify the equation follow all the steps given below.

First, open the brackets combine like terms, and simplify.

Then,

The equation in simplified form is;

\rm  (1.6x + 7.3) + (-0.6x + 2) - (7.8 -3.4x)\\\\1.6x+7.3-0.6x+2-7.8+3.4x\\\\1.6x-0.6+3.4x+7.3-7.8\\\\4.4x+1.5

Hence, the simplified form of the equation is 4.4x + 1.5.

To know more about addition click the link given below.

brainly.com/question/15892196

7 0
2 years ago
Lainey bought a set of 20 markers for $6<br> What is the cost of 111 marker?
sammy [17]

Answer:

370

Step-by-step explanation:

First find the unit rate aka price per pencil: 20 divided by 6 equals 3.333

Then find amount for all pencils

3.333 by 111 is 369.963

Then we round up to have a realistic amount of pencils to 370

5 0
2 years ago
Other questions:
  • Malcolm had a 20% discount coupon for camping equipment. He bought a camp stove for $39.96. What was the original price of the c
    13·1 answer
  • Solve 1235 ÷ 100<br> a. 1.235<br> b. 123.5<br> c. .1235<br> d. 12.35
    7·1 answer
  • Math help pls thank u c:
    6·1 answer
  • list the ordered pair Shelly should graph. Training weeks 1,2,3,4,5,6. Non stop Running minutes is... 31/2,, 7,, 101/2,,, 14, 17
    15·1 answer
  • What is 40 percent of 250?
    9·2 answers
  • 5.47 - (-2.8) pls help me
    7·2 answers
  • My little cuz need help can you help her please
    12·2 answers
  • Show the work please
    5·2 answers
  • Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins.
    9·1 answer
  • A prism and two nets are shown below:
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!