If a function is defined by the equation y = 1/2x -3/2 , which equation defines the inverse of this function?

If A Function Is Defined By The Equation Y = 1/2x -3/2 , Which Equation Defines The Inverse Of This Function?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Rearrange the equation making x the subject

y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )

2y = x - 3 ( add 3 to both sides )

2y + 3 = x

Change y back into terms of x with x being the inverse function, that is

y = 2x + 3 → B


Related Questions

what is the zero turn for the arithmetic sequence 128,96,64,32

Answers

You are falling by [tex]32[/tex],

[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]

In general your sequence is defined as,

[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].

The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].

If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].

If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].

The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].

Hope this helps :)

Plsssssssssssss help me

Answers

It would be the third option: 424 inches

True or False, 15%-54% of errors reported from primary care practices are related to the testing process.

Answers

Answer:

i would say true

Step-by-step explanation:

Supplementary angles are pairs of angles whose measures total 180º. Determine the measure of
supplementary to an angle with a measure of 92°

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

88°

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

As mentioned in the question, supplementary angles add up to 180°.

⸻⸻⸻⸻

[tex]\boxed{\text{Setting Up An Equation...}}\\\\a + 92 = 180\\----------\\ a - \text{Unknown angle measure.}\\----------\\\rightarrow a + 92 - 92 = 180 - 92\\\\\rightarrow \boxed{ a = 88}[/tex]

⸻⸻⸻⸻

The unknown angle measurement should be 88°.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

What the answer I don’t get Mary at all

Answers

Answer:

1

Step-by-step explanation:

By order of operations, we first evaluate the parentheses, which is 2 * 1 = 2.  We then evaluate the brackets, which are 3 / 2 = [tex]\frac{3}{2}[/tex].  Finally, [tex]\frac{3}{2}[/tex] * [tex]\frac{2}{3}[/tex] = [tex]\frac{6}{6}[/tex] or 1.

The question is [3/(2*1)]2/3

Steps to solve:

- first do the main ()
2*1 is 2

- now divide
3/2 (keep it has a fraction bcz it will help with the final process

- 3/2 time 2/3 is 1


The answer is 1

If helped mark me the brainiest!!

Critical Thinking Point M is the midpoint of AB. The coordinates of point A are
(-8, 3) and the coordinates of Mare (–2, 1). What are the coordinates of point B?

Answers

Answer:-1,4

Step-by-step explanation:

How do Curves A and B compare to each other with respect to f and f ′?
The answer cannot be determined.
f: Curve B, f ′: Curve A
f: Curve A, f ′: Curve B
Neither Curve A nor Curve B are derivatives of each other.

Answers

It's likely that curve A is f and curve B is f '.

The points where curve B crosses the horizontal axis correspond to the extrema of curve A at around 0 and 0.45, and the extremum of curve B corresponds to the inflection point of curve A at around 0.2. These observations are consistent with the first and second derivative tests.

What is the coordinate of point A?

Answers

Answer:

The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.

Hope it is helpfully.

On the first day of December, 34,789 people went to the mall. On the second day 63,587 people went to the mall. How many people went to the mall over the two days

Answers

Answer:

98376

Step-by-step explanation:

Use the diagram to the right.
If AD = 17 and AC = 2y - 6, find the value of y. Then find AC
and DC.

Answers

Step-by-step explanation:

if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.

And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34

AC=2y-6

therefore

34=2y-6

28=2y and y=14

Answer:

Step-by-step explanation:

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Answers

Answer:

6(3) - 4 - 3²

Step-by-step explanation:

(g - f) = 6x - (4 - 2x²)

= 6x - 4 - 2x²

and when we replace x with 3 ,it will be

6(3) - 4 - 3²

hope this helps

Answer:

Basically what the person on top of me said

Step-by-step explanation:

Got it right !

What is the volume of the rectangular solid?
12 cubic feet
15 cubic feet
5 ft
25 cubic feet
50 cubic feet
2 ft
5 ft
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

I need to see the rectangular solid

A perpendicular bisector runs through the middle of a line segment and splits into

Answers

Answer:

B two congruent pieces

Step-by-step explanation:

Perpendicular means at a 90 degree angle

bisector means it divides in it half, into two equal pieces

7/9+6/8+6/3=

I really need the answer

Answers

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.

1:

7/9+6 = 7/15

2:

8+6/3 = 14/3

3:

[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]

Then take that in chunks: 7/14 and 15/3.

7/14 = 1/2

15/3 = 5/1

Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].

1/5 = .2

2/3 ≈ .6667 so we'll keep writing it as 2/3

[tex]\frac{\frac{.2}{2}}{3}[/tex]

.2/2 = .1, so:

[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]

I used photo maths I 10/10 recommend it, it shows step by step and the final answer to ur question is 3 19/36 or we can write it in decimal form 3.527

Alguien me ayuda con esto?

Answers

Answer:

x=10

Step-by-step explanation:

10 a 8 son dos, entonces 14 ax es 4

Answer:

La explicación sería:

//////////////////////////

=> 9 * 2 + 4/2 = 20

=> 18 +2 =20

=> 20 =20

//////////////////////////

=> 5*2 + 8/2 = 14

=> 10 +4 =14

=> 14 =14

//////////////////////////

=> 3*2 + 10/2 = x

=> 6 + 5 = x

=> 11 = x

Need help!!!!

Will earns $6.50 per hour and time-an-a-half for all hours over 40.
Find his weekly pay if he worked 47 hours.
a. $305.50
b. $328.25
c. $269.75
d. $68.25

Answers

Answer:

b

Step-by-step explanation:

Which of the following is equivalent to?

Answers

Answer:

Answer is 1/6

Step-by-step explanation:

[tex] {36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ \\ = \frac{1}{ \sqrt{36} } \\ \\ = \frac{1}{6} [/tex]

Find the differential of the function w=x^(4)sin(y^(4)z^3)

Answers

Step-by-step explanation:

[tex]w = x^4\sin(y^4z^3)[/tex]

The differential [tex]dw[/tex] is

[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]

Jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 2/3 of an hour

Answers

Answer:

Answer:

If:   153  words = 3  minutes  :

Then:  1 minute =  153 3 =  51 words

10 minutes is:

10 × 51 = 510

Ben can type 510 words in 10 minutes

Help with this please now

Answers

Answer:

ok dude

Step-by-step explanation:

Wʜᴇʀᴇ ɪs ǫᴜᴇsᴛɪᴏɴ?

Answer:

what help l don't understand please sorry I didn't help you explain your problem l will help you

I need help with math please here is a photo

Answers

is there a graph for this question?

If f(x)= 2|x|+3x, then the value of f(-1) is​

Answers

Answer:

-1

Step-by-step explanation:

f(-1) = 2|-1| + 3(-1)

|-1| = 1

=> f(-1) = 2(1) - 3

=> f(-1) = 2 - 3

=> f(-1) = -1

√5 • -4√20

PLEASE SHOW STEP BY STEP ON HOW YOU SOLVED THE EQUATION​

Answers

Answer:

-40

Step-by-step explanation:

[tex] \sqrt{5} \times - 4 \sqrt{20} [/tex]

Multiplication is commutative.

[tex] - 4 \sqrt{20} \times \sqrt{5} [/tex]

Apply Profuct Rule

[tex] - 4 \sqrt{100} [/tex]

Simplify sqr root of 100

[tex] - 4 \times 10 = - 40[/tex]

Hi ;-)

√5 · (-4√20) = -4√(5 · 20) =

= -4√100 = -4 · 10 = -40


Find the linear function f if f^-1(2)=-1 and f^-1 (-9)=3

Answers

Answer:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

Step-by-step explanation:

We want to find the linear function given that:

[tex]f^{-1}(2) = -1\text{ and } f^{-1} (-9) = 3[/tex]

Recall that by the definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b\text{ then } f^{-1}(b) = a[/tex]

In other words, f(-1) = 2 and f(3) = -9.

This yields two points: (-1, 2) and (3, -9).

Find the slope of the linear function:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(-9) - (2)}{(3) -(-1)} = -\frac{11}{4}[/tex]

From point-slope form:

[tex]\displaystyle y - (2) = -\frac{11}{4}( x- (-1))[/tex]

Hence:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

We can simplify if desired:

[tex]\displaystyle f(x) = -\frac{11}{4}x -\frac{3}{4}[/tex]

In the following expression, both A and B are variables that can take positive values.

A+2/B

Which of these actions will cause the expression's value to increase?
Choose 2 Answers
A.
Keeping A constant and increasing B

B.
Keeping A constant and decreasing B

C.
Increasing A and keeping B constant

D.
Decreasing A and keeping B constant

Answers

I think the answer is A and C!

Answer:

B) Keeping A constant and decreasing B

C) Increasing A and keeping B constant

Step-by-step explanation:

I did it on Khan Academy :)

The width of a rectangle measures (2p - 9q) centimeters, and its length measures
(7p - 10q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?

Answers

Given Data : Length = (7p - 10q) and Breadth = (2p - 9q)

Calculation :

⟹ Perimeter = 2(Length + Breadth)

⟹ Perimeter = 2(7p - 10q + 2p - 9q)

⟹ Perimeter = 2(9p - 19q)

⟹ Perimeter = 18p - 38q centimetres

Answer : 18p - 38q centimetres

The required perimeter of the rectangle is 18p - 38q centimeters.

It is required to find the required perimeter of the rectangle.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

width of a rectangle = (2p - 9q) centimeters,

length measures= (7p - 10q) centimeters.

We know that

⟹ Perimeter = 2(Length + Breadth)

By put the value width and length in perimeter we get,

⟹ Perimeter = 2(7p - 10q + 2p - 9q)

⟹ Perimeter = 2(9p - 19q)

⟹ Perimeter = 18p - 38q centimeters

Therefore, the required perimeter of the rectangle is 18p - 38q centimeters.

Learn more about rectangle here:

brainly.com/question/24437900

#SPJ2

Two jets leave an airbase at the same time and travel in opposite directions, One jet travels 71mi/h faster than the other. If two jets are 7014 miles apart after 6 hours what is the speed of each jet?

Answers

jet1 = 549 mi/h

jet2 = 620 mi/h

x= jet1

x + 71 = jet2

6 hours

6 * x

6 * x + 71

6x + 6x + 426 = 7014

12x = 7014 - 426

12x = 6588

x = 6588/12

x= 549

x + 71 = 620

wyzant

Are these answers correct? Thxxx

Answers

I think they are. But try asking someone else for more confirmation!

Solve the following inequality: |x – 4|> 6

Answers

Answer:

x>10  or x< -2

Step-by-step explanation:

There are two solutions, one positive and one negative, remembering to flip the inequality for the negative

x-4 >6    or x-4 < -6

Add 4 to each side

x-4+4 > 6+4   or x-4+4 < -6+4

x>10  or x< -2

Similarity and Congruence
Two figures are said to be SIMILAR if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.

Each pair of figures is similar. Find the value of the missing side (x).

Answers

9514 1404 393

Answer:

  3 in

Step-by-step explanation:

Ratios of corresponding sides are equal, so we have the proportion ...

  x/(5 in) = (6 in)/(10 in)

  x = (5 in)(6/10) = 3 in

The missing side (x) is 3 in.

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