# Question5°F - 32)The function to convert Fahrenheit to Celsius is °C = (°F) =The inverse function will9convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of howdetermining this inverse is different than determining the previous inverses.The inverse function is °F = -(°C)=The F and °C (select) V need to be switched like the x and y did in the previous functions.(select) degree measures, and because of the real-world relationship, switching them(select) ✓ make sense.

Step-by-step explanation:

Given

Required

Determine the inverse function

Make F the subject of formula:

Multiply through by 9

Divide through by 5

The inverse function is °F = (9/5 * °C) + 32.

To determine this inverse function, we first need to understand that it's the reverse conversion from Celsius to Fahrenheit. In the original conversion from Fahrenheit to Celsius, we subtracted 32 from the Fahrenheit temperature and then divided the result by 9/5 (or 1.8).

To find the inverse, we need to do the opposite operations in reverse order. First, we need to undo the division by 1.8, which is equivalent to multiplying by 5/9. Then, we need to undo the subtraction of 32 by adding 32 to the result.

This process is different from determining previous inverses because it involves reversing the operations in the opposite order and with different constants (5/9 and 32) compared to the original function.

The F and °C variables need to be switched in the inverse function because we are now going from Celsius to Fahrenheit, and the relationship between these temperature scales requires different mathematical operations.

Switching them makes sense because it aligns with the real-world relationship between the two temperature scales and ensures that the inverse function correctly converts from Celsius to Fahrenheit

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## Related Questions

The planet Mars has a radius of 3400 km. What is the volume of Mars?Write your answer in scientific notation to three decimal places.

1.646×10¹¹ km³.

Step-by-step explanation:

From the question given, we obtained the following information:

Volume (V) =.?

The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:

Pi (π) = 3.14

Volume (V) =.?

Volume of a sphere = 4/3 πr³

V = 4/3 × 3.14 × (3400)³

V = 4/3 × 3.14 × 3.9304×10¹⁰

V = 1.646×10¹¹ km³

From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³

Question 8 of 10If f(x) = 5x – 2 and g(x) = 2x + 1, find (f+g)(x).
O A. 4x-3
O B. 3x - 1
C. 7x-1
O D. 7x-3
SUBM

The solution is : If f(x) = 5x – 2 and g(x) = 2x + 1, then the value of  (f+g)(x) is : 7x-1.

### What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

If f(x) = 5x – 2 and g(x) = 2x + 1,

now, we have to find (f+g)(x).

so, we have,

f(x) = 5x – 2

and g(x) = 2x + 1

now,

(f+g)(x)

=f(x)+g(x)

=5x-2+(2x+1)

=5x-2+2x+1

=7x-1

Hence, The solution is : If f(x) = 5x – 2 and g(x) = 2x + 1, then the value of  (f+g)(x) is : 7x-1.

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7x-1

Step-by-step explanation:

• f(x)+g(x)
• 5x-2+(2x+1)
• 5x-2+2x+1
• 7x-1

Is x=1.5 a solution for 2x=9?

no x=4.5

Step-by-step explanation:

-3 = 15+4y round to nearst tenth

y = - 4.5

Step-by-step explanation:

given the equation

- 3 = 15 + 4y ( subtract 15 from both sides )

- 3 - 15 = 15 - 15 + 4y ( simplify both sides )

- 18 = 4y ( divide both sides by 4 )

= y , that is

- 4.5 = y

Savanna is playing a game with her friends. She tells them to each pick a number, and then she directs them to: 1. Multiply their number by 4 2. Subtract 6 from that number 3. Divide that number by 2. Once they do that, they each tell Savanna their number a. Arturo says his "new" number is -15. What number did Arturo start with?

x  = - 6

Step-by-step explanation:

Let  x  b number, according to instructions´ we must

1.-Multiply  by  4

2.-Subtract  6

3.-Divide by 2

4.-Arturo says his new number  - 15

4,.Which one was the original number   ??

The maths expression for that  is :

(4*x - 6 ) / 2  =  -  15

we solve for x

4x  -  6  = - 30

4x   =  - 24

x  = - 6

To find Arturo's starting number, reverse the given steps: divide by 2, add 6, then multiply by 4.

### Explanation:

To find Arturo's starting number, we need to reverse the steps Savanna provided. Let's go through the steps backwards:

1. Arturo's number after dividing by 2 is -15 * 2 = -30.
2. Arturo's number after adding 6 is -30 + 6 = -24.
3. Arturo's number after multiplying by 4 is -24 / 4 = -6.

Therefore, Arturo started with the number -6.

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Select the correct answer from each drop-down menu. The table shows the heights of the 10 tallest buildings in San Francisco and Los Angeles.

The average height of the 10 tallest buildings in Los Angeles is than the average height of the tallest buildings in San Francisco. The mean absolute deviation for the 10 tallest buildings in San Francisco is

Average Height of tallest Building in San Francisco

Average Height of tallest Building in Los Angeles

→→Difference between Height of tallest Building in Los Angeles and  Height of tallest Building in San Francisco

=233.9-197.8

=36.1

⇒The average height of the 10 tallest buildings in Los Angeles is 36.1 more than the average height of the tallest buildings in San Francisco.

⇒Part B

Mean absolute deviation for the 10 tallest buildings in San Francisco

|260-197.8|=62.2

|237-197.8|=39.2

|212-197.8|=14.2

|197 -197.8|= 0.8

|184 -197.8|=13.8

|183-197.8|=14.8

|183-197.8|= 14.8

|175-197.8|=22.8

|174-197.8|=23.8

|173 -197.8|=24.8

Average of these numbers

Mean absolute deviation=23.12