All categories

2 years ago

Find the inverse function of

Mathematics

1 answer:

shtirl [24]2 years ago

3 0

Answer:

$f(x) = 20x - 4 \\ substitute \: y \: for \: f(x) \\ y = 20x - 4 \\ interchange \: x \: and \: y \\ x = 20y - 4 \\ swap \: the \: sides \: of \: the \: equation \\ 20y - 4 = x \\ move \: the \: constant \: to \: the \: right \: hand \\ 20y = x + 4 \\ divide \: both \: sides \: by \: 20 \\ y = \frac{1}{20} x + \frac{1}{5} \\ substitute \: f {}^{ - 1} (x) \: for \: y \\ f {}^{ - 1} (x) = \frac{1}{20} x + \frac{1}{5}$

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

Thus, domain of f(x): x∈R = range of f¯¹(x)

and range of f(x): x∈R =domain of f¯¹(x)

You might be interested in

HELPPP THIS IS DUE SOON! I WILL MARK BRAINLIEST

expeople1 [14]

Answer:

7.3

Step-by-step explanation:

For this question, you must use the distance formula. The distance formula is based around Pythagorean Theorem, so you will see some similarities.

Distance = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$

X2 is 7 (X coordinate of school)

X1 is 5 (X coordinate of friend's house)

7 - 5 = 2

2^2 = 4

Y2 is 7 (Y coordinate of school)

Y1 is 0 (Y coordinate of friend's house)

7 - 0 = 7

7^2 = 49

4 + 49 = 53

$\sqrt{53}$ = 7.2801...

<em>Round to the nearest tenth...</em>

4 0

2 years ago

Read 2 more answers

Please help with question 22b! Thanks :)

NNADVOKAT [17]

6.5 liters per 100 km travelled. 30% of 5 is 1.5, so adding this to the original amount results in 6.5

8 0

2 years ago

Read 2 more answers

What is the product of (–1.5)(0.8)? –1.2 –0.7 0.7 1.2

guajiro [1.7K]

The Answer is a. –1.2

3 0

2 years ago

Jean sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, Jea

slega [8]

Answer:number of cupcakes sold is 13

Number of cookies sold is 27

Step-by-step explanation:

Let x represent the number of cupcakes that Jane sold.

Let y represent the number of cookies that Jane sold.

Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, Jean had sold $42.75 worth of cookies and cupcakes.

This means that

2.25x + 0.5y = 42.75 - - - - - - - - - -1

she sold 40 cupcakes and cookies combined, it means that

x + y = 40

Substituting x = 40 - y into equation 1, it becomes

2.25(40 - y) + 0.5y = 42.75

90 - 2.25y + 0.5y = 42.75

- 2.25y + 0.5y = 42.75 - 90

- 1.75y = - 47.25

y = - 47.35/-1.75

y = 27

x = 40 - y

x = 40-27 = 13

4 0

3 years ago

1. A study of college freshmen found that students who watched TV for more than one hour each night gained 15 pounds in the firs

umka21 [38]

Answer:

C. They most likely used an observational study asking students to keep track of their TV habits and weight.

A. This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

According to our question:

1. The study concluded that there is a relation between watching TV and the weight gain in college freshmen.

Now, this is possible when a group of college students were asked to participate to watch TV for more than 1 hour for a specific amount of time and have a record of their weights.

So, the study is an observational study where the habits and weights of college students were observed.

Hence, option C is correct.

2. The students were divided onto two groups where one group used the computer program and the other did not to check the improvement in the reading levels.

This means that the students were given a procedure to follow during the study in order to see the results..

So, the study is an experiment where a treatment is applied to the group of students.

Hence, option A is correct.

8 0

2 years ago

Read 2 more answers