What is the inverse of the function h(x)=\dfrac{3}{2}(x-11)h(x)=
2
3

(x−11)h, left parenthesis, x, right parenthesis, equals, start fraction, 3, divided by, 2, end fraction, left parenthesis, x, minus, 11, right parenthesis?
h^{-1}(x)=h
−1
(x)=h, start superscript, minus, 1, end superscript, left parenthesis, x, right parenthesis, equals

Answers

Answer 1

Answer:

[tex]\boxed{\red{\sf h^{-1}(x)=\dfrac{4}{3}x+22}}[/tex]

Step-by-step explanation:

Given :-

h(x) = 3/2 ( x - 11)

And we need to find the Inverse of the function . So for that firstly replace h(x) with y , we have ,

[tex]:\implies[/tex] h(x) = 3/2 ( x -11)

[tex]:\implies[/tex] y = 3/2 ( x - 11)

[tex]:\implies[/tex] y = 3/2x - 33/2

Now replace x and y.

[tex]:\implies[/tex] x = 3/2y - 33/2

Now solve out for y .

[tex]:\implies[/tex] x + 33/2 = y × 3/2

[tex]:\implies[/tex] y = (2x + 33)×2/3

[tex]:\implies[/tex] y = 4x/3 + 22

Replacing y with h-¹(x)

[tex]:\implies[/tex] h-¹(x) = 4x/3 + 22

Hence the inverse of the function is 4x/3 + 22


Related Questions

100 inches into yards

Answers

i think that’s about 2.8

2.77778 yards

divide the length value by 36

The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
150.8 cubic inches
anything
99+

Answers

Answer:

The volume of the soup pot is of 226.19 cubic inches.

Step-by-step explanation:

Format of a soup pot:

A soup pot has a cylindrical format.

Cylinder volume:

The volume of a cylinder, with radius r and height g is given by:

[tex]V = \pi r^2h[/tex]

The soup pot is 8 inches tall with a radius of 3 inches.

This means that [tex]h = 8, r = 3[/tex]

What is the volume of the soup pot?

[tex]V = \pi r^2h = \pi*3^2*8 = 72\pi = 72(3.1415...) = 226.19[/tex]

The volume of the soup pot is of 226.19 cubic inches.

What 3 dimensional solid will be formed by rotating the given figure around the given line of symmetry?

Answers

Answer:

option D)

Step-by-step explanation:

when a equilateral triangle  is rotated about x-axis

rotating equilateral triangle about x-axis will lead to the formation of cone in.

the height of the equilateral triangle  will represent height of the cone.

the base of the equilateral triangle will represent the circular base of the cone

and the slant height of the cone will represented by the sides.

hence, the correct answer will cone which is option D)

You ask 125 randomly chosen students to name their favorite foods. There are 1500 students in the school. Predict the number of students in the school whose favorite food is pizza. Pizza 58. Hamburger 36. Pasta 14. Other 17

Answers

Answer:

1500/125=12

58x12=696

not sure

Step-by-step explanation:

Please Help if you can!! I also have more questions in my profile!

Answers

Answer:

(0, 9), (0, 0), (0, 1)

Step-by-step explanation:

Hope it helps you in your learning process.

What is the length of AB
Please help...no links please

Answers

Answer:

AB = 1- (-2) = 1+2 = 3units

A hotel has 20 rooms.
A big room costs $30.
A small room costs $10.
If they rent all the rooms and make $480.
How many Large rooms?
How many Small rooms?

Answers

30 large
3 small
or 10 large 18 small

what is 2476476263278x342234324

Answers

Answer:

8.4753518e+20

Step-by-step explanation:

I used calculator. You should've used a calculator too.

The table shows the number of points Malik and Alexia scored while playing a video game together. Which equation relates Alexia’s score, a, to Malik’s score, m?

A. a=0.5m
B. a=1.5m
C. a= m+10
D. a=m+30

Answers

Answer:

D. a = m + 30

Step-by-step explanation:

It's not A, because that would be dividing Malik's score in half to get Alexia's score.

B only works for the first line.

C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.

Please answer quick, will give brainliest!!

Answers

Answer:

can u write the question

Step-by-step explanation:

pls the I will answer it

write an explicit rule for the nth term of the geometric sequence. NO LINKS!!!!

Answers

Answer:

[tex]7 \\ 5 \times {1.1}^{x - 1} \\8 \\ \frac{1}{9} = a \times {( - 3)}^{8 - 1} \\ a = \frac{1}{9} \times \frac{ - 1}{ {3}^{7} } = \frac{ - 1}{ {3}^{9} } \\ \\ \frac{ - 1}{ {3}^{9} } \times {( - 3)}^{x - 1} [/tex]

Answer:

see explanation

Step-by-step explanation:

The nth term ( explicit rule ) of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

(7)

[tex]a_{n}[/tex] = 5 [tex](1.1)^{n-1}[/tex]

(8)

Given a₈ = [tex]\frac{1}{9}[/tex] , then

a₁ [tex](-3)^{7}[/tex] = [tex]\frac{1}{9}[/tex]

a₁ × - 2187 = [tex]\frac{1}{9}[/tex] ( divide both sides by - 2187 )

a₁ = - [tex]\frac{1}{19683}[/tex]

Then

[tex]a_{n}[/tex] = - [tex]\frac{1}{19683}[/tex] [tex](-3)^{n-1}[/tex]

PLEASE HELP ME NOW!!!!!The television repair charge at "We Fix TVs" is $20 per hour plus a $60 flat fee charge. The television repair charge at "Electronic Depot" is $40 per
hour with no flat fee. Write a system of equations to model the charges for each repair shop.

Answers

Answer:

Step-by-step explanation:

we fix tvs

20h+60

electronic depot

40h+0

HELP PLEASE I'LL GIVE 30 POINTS!!!​

Answers

Answer:

x = 45

Step-by-step explanation:

Straight line has 180 degrees; so if you add all the angles up:

2x + x + x = 180

4x = 180

x = 45 degrees

Answer:

45°

Step-by-step explanation:

2x + x + x = 180°

4x = 180°

x = 180°/4

x = 45°

f(x) = 3√4x
g(x) = 2x + 3
Find ( f/g) (x). Include any restrictions on the domain

Answers

Answer:

B

Step-by-step explanation:

To find [tex](\frac{f}{g} )(x)[/tex] you can write the expression as [tex]\frac{f(x)}{g(x)}[/tex]. We can substitute the f(x) and g(x) into the expression to get: [tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex]. Now we need to find the domain. The numerator is fine, and the domain is all real numbers, but in a fraction, the denominator cannot equal 0. We can write:  [tex]2x + 3\neq 0[/tex] and we can solve it:

[tex]2x\neq -3[/tex]

[tex]x\neq -\frac{3}{2}[/tex]

This is the same as option B.

The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2. Option C is correct

Given the functions

f(x) = 3√4x

g(x) = 2x + 3

We are to find the resulting function (f/g)(x)

(f/g)(x) = f(x)/g(x)

(f/g)(x) = 3√4x/2x+3

Restriction to the function occurs at the point where the denominator is zero.

2x = 3 = 0

2x = -3

x = -3/2

Hence the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2

Learn more here: https://brainly.com/question/11187697

0.28 is equal to which of the following?
A. 8/100+2/10
B. 28/10
C. 2/10+8/10
D. 2/8

Answers

Answer:

A. 8/100+2/10

Step-by-step explanation:

8/100+2/10= 7/25

7/25(in decimal form)= 0.28

The terminal side of in standard position contains the point (20, 21) . Find the exact values of the six trigonometric functions of? Please help

Answers

Answer:

27,29

Step-by-step explanation:

what is the best estimate for the value of 3pie/2?

Answers

Answer:

4.7 or 4.71

Step-by-step explanation:

jdjdjdjdjdjhr

Which equations is parallel to y=4x+8?

Answers

Answer:

y=4x-8

hope this helps

have a good day :)

Step-by-step explanation:

fy: 143 +1.42 + 2.9°

Answers

Answer:

what does fy mean

Step-by-step explanation:

Step-by-step explanation:

I tell my friends about this and I found that FY means Fiscal year

In a certain country the probability that a baby that is born is a boy is 0.52 and the probably that a baby that is born is a girl is 0.48. A family has two children. If X is the number of girls born to a family, find the probability that the family has 0,1 or 2 girls

Answers

Probability of an event is the measure of its chance of occurrence. The probability that the family has 0,1 or 2 girls is 0.7504

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

For three events, A, B and C:

[tex]P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A\cap B) - P(A \cap C) - P(B \cap C) + P(A \cap B \cap C)[/tex]

For the given case,

If the random variable  X is such that:

X = number of girls born to a family which has two children.

Then, we can model this situation by Binomial distribution, where Bernoulli experiment is birth of child which either results in being girl(call it success), or boy( call it failure) (in this case, we assume that only two gender exist).

Since total there are 2 children, so n = 2

In that specified family, success  in Bernoulli experiment  = birth of girl, so probability of success = P(birth of girl)  = 0.48 = p

and, failure in Bernoulli experiment = birth of boy, thus, probability of failure = P(birth of boy) = 0.52 = q = 1-p

Thus, X pertains binomial distribution (as it is count of successes), as:

[tex]X \sim B(n = 2,p = 0.48)[/tex]

Evaluating the needed probabilities:

Probability that the specified family gets 0 girl child = P(X = 0)

Using the probability function for binomial distribution, we get:

[tex]P(X = 0) = \: ^2C_0(0.48)^0(0.52)^2 = 0.2704\\[/tex]

Probability that the specified family gets 1 girl child = P(X = 0)

Using the probability function for binomial distribution, we get:

[tex]P(X = 0) = \: ^2C_1(0.48)^1(0.52)^1 = 0.2496\\[/tex]

Probability that the specified family gets 2 girl child = P(X = 0)

Using the probability function for binomial distribution, we get:

[tex]P(X = 0) = \: ^2C_2(0.48)^2(0.52)^0 = 0.2304\\[/tex]

If we take three events as:

A = the specified family gets 0 girl child B = the specified family gets 1 girl child C = the specified family gets 2 girl child

Then, their simultaneous occurrence isn't possible, so the probability of their intersection isn't possible.

The probability of event of getting 0, 1 or 2 girl child in that family is written as: [tex]P(A \cup B\cup C)[/tex]. Using the addition rule, and knowing that their intersection is having 0 chances, thus,

[tex]P(A \cup B \cup C) = P(A) + P(B) + P(C) =[/tex] [tex]0.2704 + 0.2496 + 0.2304 = 0.7504[/tex]

Thus, he probability that the family has 0,1 or 2 girls is 0.7504

Learn more about binomial distributions here:

https://brainly.com/question/13609688

What type of economy is based on supplying the goods and services that people demand? A. traditional B. command C. market D. mixed Please select the best answer from the choices provided A B C D

Answers

Answer:

C- Market

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Michelle has 3/5 pounds of sugar. She gave her neighbor some sugar. Now she has 1/2 pounds of sugar left. How much sugar did she give to her neighbor?

Answers

Answer: 1/10

Step-by-step explanation:

Answer:

1/10 pound

Step-by-step explanation:

If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.

eddie has a steel rod that is 50 inches long. He uses a saw to cut off 2.75-inch pieces from the end of the rod. After cutting off a certain number of pieces, the steel rod is now 36.25 inches long. How many pieces did Eddie cut off the end of the steel rod?

a.) 4 pieces
b.) 5 pieces
c.) 7 pieces

Answers

Answer: B. 5 pieces

Step-by-step explanation:

36.25 + 2.75 = 39.00 + 2.75 = 41.75 + 2.75 = 44.50 + 2.75 = 47.25 + 2.75 = 50

Como se escribe el numeral 300,105,020 4to grado

Answers

300 is even and a multiple of 3 and 10
105 is odd and a multiple 5, 3, and 7
20 is even and a multiple of 10 and 2

20 points! And BRAINLIEST!

Answers

Answer:

32 sq. ft.

Step-by-step explanation:

1/2 (8x8)=1/2(64)=32

On a map, ½ inch represents 200 miles. How long would a line on a map need to be in order to represent 1800 miles?

Answers

9 because 1,800 divided by 200 is 9

please help me with this. will give brainliest due in 5 minutes

Answers

Answer:

A

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

[tex]g(x)=(x-4)^2+1[/tex]

Step-by-step explanation:

The graph is shifted 4 to the right and 1 up. When a graph is moving left or right, the sign switches. Right means -, left means +.

The equation of the blue graph is g(x)  = (x+4)² - 2

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

x+4 because adding 4 to the x coordinate would shift it over 4

y+2 because adding 2 to the y coordinate would shift it up 2

⇒ g(f(x)) = ( x+4, y +2 )

⇒ g(x) + 2 = (x+4)²

Hence, the equation of the blue graph is g(x)  = (x+4)² - 2

Learn more about parabola here:

brainly.com/question/4074088

#SPJ5

triangle has an angle measures of 35° 85° and 60° what is the measure of the largest exterior angle

Answers

Answer:

325°

Step-by-step explanation:

The smallest interior angle has the largest exterior angle

35+x = 360

x = 360-35

x=325

Help plz I need the gelopppppp

Answers

Answer:

the answer is 12

Step-by-step explanation:

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