Which statement could be used to explain why the function h(x) =3 has an inverse relation that is also a function

Answers

Answer 1

Correct Question is:

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

1. The graph of h(x) passes the vertical line test.

2. The graph of the inverse of h(x) is a vertical line.

3. The graph of the inverse of h(x) passes the horizontal line test.

4. The graph of h(x) passes the horizontal line test.

Step-by-step explanation:

Answer is Option 2: The graph of the inverse of h(x) is a vertical line.

A given expression in x i.e. y = f(x) will be a function if and only if there exists only one value of y that is true for every value of x. We will do the vertical line test for verification if the inverse of a function is a

If we plot f(x) and draw a straight line parallel to y-axis from a point x belonging to its domain and this line meets the curve at only one point then f(x) will be a function. This test is called vertical line test.

So if the graph of inverse of h(x) passes the vertical line test then the inverse of h(x) is also a function.


Related Questions

help me this is difficult ​

Answers

Answer:

Last one

Step-by-step explanation:

I’ve attached my work, hope this helps!

Its the last one

Step-by-step explanation:

trust me on this one

May I please have the correct answer please? I will give you whatever you want

Answers

Correct answer is: 0.015625
4^-3
= 1/4^3
=1/4x4x4
=1/64

"the difference of p and 4."

Answers

Answer:

p - 4 = ?

Step-by-step explanation:

Difference also mean subtraction, so that means you are required to subtract the variable p and 4.

The slope of the line is 52 and passes through the points A ( 8, -6), what is the equation of this line ?

Answers

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

please help_____________​

Answers

the answer is 54 units, sorry if it is incorrect!

What is −4|a - 13| ≤ −56?

Answers

Answer:

a ≤ 27

Step-by-step explanation:


The length of a rectangle is 18 cm and its breadth is 11 cm. Find area of the rectangle.

Answers

Step-by-step explanation:

Area = length×breath

=18×11

=198cm²

Answer:

198 square cm

The graph of h is the graph of f(x) = x2 translated 2 units left and 5 units up. What is the vertex form of this function?
A. h(x) = (x + 2)2 + 5
B. h(x) = (x - 2)2 + 5
C. h(x) = (x + 5)2 + 2
D. h(x) = (x + 5)2 - 2

Answers

Answer:

A. [tex]h(x) = (x+2)^{2}+5[/tex]

Step-by-step explanation:

First, we need to defined the two transformations required to derive [tex]h(x)[/tex].

Vertical translation

[tex]n(x) = m(x) +k[/tex], [tex]k \in \mathbb{R}[/tex] (1)

Where:

[tex]k > 0[/tex], upwards.

[tex]k < 0[/tex], downwards.

Horizontal translation

[tex]n(x) = g(x+k)[/tex], [tex]k\in \mathbb{R}[/tex] (2)

Where:

[tex]k > 0[/tex], leftwards.

[tex]k < 0[/tex], rightwards.

Let [tex]f(x) = x^{2}[/tex], if [tex]h(x)[/tex] is translated 2 units left and 5 units up, then we have the resulting expression:

[tex]h(x) = (x+2)^{2}+5[/tex] (3)

Hence, correct answer is A.

3. A pair of tennis shoes cost $48.60 including sales tax. If the sales tax rate is 8%, what is the cost of the tennis
shoes before the tax is added?

Answers

Answer:

The answer for it is 44.71

SIMPLE 7TH GRADE MATH PROBLEM?!?!

Answers

Answer:

I'm sure it is 25 hope this helps!!!

Answer:

Should be 25

Step-by-step explanation:

Lol is that pearson realize? i hate that buddy good luck

The price of a 7​-minute phone call is ​$1.05. What is the price of a 15​-minute phone​ call?

The price of a 15- minute phone call is $
plz help me O_O

Answers

2.25$. The call is priced at 15 cents per minute

I NEED THIS ASAP
For what value of q is the equation - 13(9 + 4) = 79 + 16 true?

Answers

Where is q????? Need more info!

Answer:

False

Step-by-step explanation:

ok so

9 + 4 = 13

-13 * 13 = -169

79 + 16 = 95

-165 does not equal 95

Hope this helps!!


my borther needs help with this problem

Answers

Answer:

Hey there down here

Step-by-step explanation:

14+10+6 = 40-10

14+10+6 = 30

30=40-10

so 14+10+6 = 40-10

what is 3/4x2/3

a.5/12
b. 6/12
c.5/7
d. 6/7

Answers

Answer:

b is the correct answer

Step-by-step explanation:

hope this helps

I can not seem to get this cam someone help me please

Answers

Answer:

i think 15.00

hope this helps :)))

Answer:

$78.75

Step-by-step explanation:

So we know that After 2 Dogs walked, Irene makes $10.50, so we divide that by 2 (Since he walked 2 dogs) to find out how much walking one dog makes him.

10.50/2=5.25

5.25 x 15= 78.75   (We multiply by 15 because that's how many dogs are needed to find the total money.)

At practice, Diego does twice as many push-ups as Noah, and also 40 jumping
jacks. He does
62 exercises in total. The equation 2x + 40 =62 describes this situation. What does
the
variable represent?

Answers

Answer:

1980

Step-by-step explanation:

5x4*x9=1980

Hope this helps :)

Brainliest?

。◕‿‿◕。 ITS PICKACHU  DAY

Explain (in words) what you would do to find the missing value in the equation. You do not find the missing number! Equation: ? + 59 5/8= 82 2/3 I will give Brainly whoever has the correct answer.

Answers

Answer:

The missing value = [tex]23\frac{1}{24}[/tex]

Step-by-step explanation:

Given - Equation: ? + 59 5/8= 82 2/3

To find - Explain (in words) what you would do to find the missing value in

              the equation. You do not find the missing number.

Proof -

Let the missing number = x

So, the equation becomes x + [tex]59\frac{5}{8}[/tex] = [tex]82\frac{2}{3}[/tex]

⇒x = [tex]82\frac{2}{3}[/tex] - [tex]59\frac{5}{8}[/tex]

     = [tex]\frac{248}{3} - \frac{477}{8}[/tex]

     = [tex]\frac{1984 - 1431}{24}[/tex]

     = [tex]\frac{553}{24}[/tex]

     = [tex]23\frac{1}{24}[/tex]

⇒x = [tex]23\frac{1}{24}[/tex]

∴ we get

The missing value = [tex]23\frac{1}{24}[/tex]

Explanation -

Here we have given the ? with addition of number that is equation to some number.

We just have to subtract the two numbers to find the missing value , as we do above.

40 points! and I will mark you Brainliest !
Find the shaded area. Round to the nearest tenth if necessary.

Answers

Answer:

1.) 49.5 mm ^2

2.) 183 in. ^ 2

Step-by-step explanation:

So for number one, it's a very irregular shape, but luckily, we can split it vertically! Into a triangle & a quadrilateral.

The area of the quadrilateral would be

6*7 = 42

The triangle is more difficult, because its not directly given, BUT, we do know that the height would have to be 6 minus 3, and the base would be 12 minus 7... So the equation is

[tex]A = \frac{1}{2} bh\\A = \frac{1}{2}(5)(3)\\A = 7.5[/tex]

Now, the rectangle and the triangle account for the total area in this case, when you add them, you get 49.5 mm ^2

~~~~~~~~

For the second, we have a trapezoid with a triangular cutout, the area of a trapezoid is defined as:

[tex]A = \frac{1}{2} (B1-B2) h[/tex]

Luckliy, none of the numbers of the bases, or height, are hidden. The height is 18, the larger base is 51, and the smaller is 24.

[tex]A = \frac{1}{2} (51-24)18\\A = 243[/tex]

So, the trapezoid area is 243 in ^2. But we aren't done, we still have the triangle! It will be easy though!

Remember, the formula for a triangle is half the base times the height. These numbers are directly given to us!

[tex]A = \frac{1}{2} (12)(9)\\A = 54[/tex]

Now, since the triangle is NOT SHADED, we subtract it's area from the trapezoid's...

[tex]243 - 54 = 183[/tex]

The area is 183 in. ^ 2

#SpreadTheLove

Answer:

1)49.5mm ^2.

2)183 in ^2.

Step-by-step explanation:

So for number one it's a very iregular shape,but luckily ,we can slip it vertycally.

6×7=42.

The triangle is more difficult because it's not directly given.

The questions is:

A=1 on 2 bh.

A= 1 on 2 (5 and 3)

The total cost for a month at a fitness club is made up of a fixed fee and a cost per visit. Information about the total cost, C, in dollars, for n visits is shown below Determine a possible fixed fee, cost per visit and equation for the new total cost.

Answers

Answer:

C = n + 25

Step-by-step explanation:

The total amount of money is C, so the equation has to equal C. n is the cost per visit and then you add the fixed fee in which I chose 25

Please help, this is a simple question I don't know:
What type of function is this?

Answers

Answer:

Quadratic

Step-by-step explanation:

here is another one .

Answers

Answer:

18

Step-by-step explanation:

18/45 is equal to 40/100

I just divided 100 by 45 to find how much they multiplied the original fraction by to get 40/100

then I divided 40 by the number I got from the last equation and got 18

hope this helps chu <3

please help with my geometry

Answers

Answer: 32.036 now round this! Good Luck :)

Step-by-step explanation:

David uses 1/4 bag of potting soil to plant 6 tomato plants. If he uses the same amount of potting soil for each plant, what fraction of the bag of potting soil will each plant get?
1/24
24
2/3
1 1/2

Answers

Answer:

Step-by-step explanation:

A

Can anyone help me with this problem?

Answers

The answer is: Y = 1/6 x -3

10% of what = 70,000​

Answers

Answer: 7000.

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

70000 ÷ 10% = 700000

how do you find GH? i will give brainielist

Answers

Answer:

16.56

Step-by-step explanation:

Hope this helps

Marcia listed all of the factors of 20 and all of the factors of 30. How many numbers appeared on both lists?

Answers

20 numbers if not repeating
28 numbers if repeating
20 makes more sense
Workup in photo below.
Good luck

Find x and y with ray theorem

Answers

Answer:

x = 2

y = 5

Step-by-step explanation:

We can say:

7 corresponds to y

(3 + 7.5) corresponds to 7.5

Plus, we can write a ratio

[tex] \frac{7}{y} = \frac{3 + 7.5}{7.5} [/tex]

[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]

Cross multiplying, we can solve for "y",

[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]

[tex] \frac{7}{y} = 7 \times 7.5[/tex]

y = 5

Again, using similarly, we can say:

(x + 5) corresponds to 5

(3 + 7.5 = 10.5) corresponds to 7.5

We can write a ratio:

[tex] \frac{x + 5}{5} = \frac{10.5}{7.5} [/tex]

Cross multiplying and with the help of a but algebra, we can solve for "x", shown below:

7.5( x + 5) = 5 x 10.5

7.5x + 37.5 = 52.5

7.5x = 15

x = 2

WILL GIVE BRAINLIEST AND 5 STAR PLS HELP

Answers

Answer:

The Anser Is C

Step-by-step explanation:

Question Do you play R~o~b~l~o~x Adopt ME im New And Started Yestarday

Friend ME At archerpro46

Help please.don’t understand!

Answers

Answer:

132 green marbles

Step-by-step explanation:

green : purple

11 : 8

? : 96

first divide 96 by 8:

96 ÷ 8 = 12

this allows us to know how much it went up by

next, take 11 and multiply it by 12:

11 x 12 = 132

there are 132 green marbles

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