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Ipatiy [6.2K]
3 years ago
8

If f(x)= x/x-1 what is f^-1(x)

Mathematics
1 answer:
svp [43]3 years ago
8 0

Answer:

f^{-1}(x)=\frac{x}{x-1}

Step-by-step explanation:

our function is  

f(x)=\frac{x}{x-1}

we are asked to determine the inverse of the above function . In order to do so we put f(x) = y and separate x in terms of y and in the final answer , we replace x with y and x with h(x)

let us see how do we do that

y=\frac{x}{x-1}

multiplying both sides by (x-1)

y(x-1)=x

xy-y=x

subtracting x from both sides and adding y on both sides

xy-x=y

x(y-1)=y

dividing both sides by (y-1)

x=\frac{y}{y-1}

we now replace x with y and x with f^{-1}(x)


f^{-1}(x)=\frac{x}{x-1}

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Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5
Lelechka [254]

Answer:

Which Angles are you talking about?

Angles A and B?

Step-by-step explanation:

7 0
3 years ago
Tommy has a piece of toast that has butter on one side, and he dropped it twice. Both times, it landed with the butter side up.
Kryger [21]
Its a one over two chance that the piece of toast won't land on the side with butter 
6 0
3 years ago
Read 2 more answers
In 88 minutes, he uses 132 balloons to make 22 identical balloon sculptures. How many minutes does it take to make one balloon s
Temka [501]

Answer:

a) How many minutes does it take to make one balloon sculpture?

= 4 minutes

b) How many balloons are used in one sculpture?

= 6 balloons

Step-by-step explanation:

In 88 minutes, he uses 132 balloons to make 22 identical balloon sculptures.

a) How many minutes does it take to make one balloon sculpture?

22 identical balloon sculptures = 88 minutes

1 balloon sculpture = x

x = 88 minutes/22

x = 4 minutes

b) How many balloons are used in one sculpture?

22 balloon sculptures = 132 balloons

1 balloon sculpture = x

Cross Multiply =

22x = 132 balloons

x = 132 balloons/22

x = 6 balloons

8 0
3 years ago
What is -9/8 as a mixed number
KATRIN_1 [288]

-1 1/8 because -9/8 is equal to -\frac{9}{8} so just make it a improper fraction, pretend the negative is not there then add the negative at the end

-hope this helps :D

8 0
2 years ago
To paint a house, a painting company charges a flat rate of 500 for supplies plus $50 for each hour of labor. What is the slope
Maksim231197 [3]

Answer:

slope = $50

Step-by-step explanation:

Given the linear equation, y = mx + b:

The slope (m) is the rate of change for every<em> x </em>number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.

Slope: The painting company charges $50 for every 1 hour of labor.

The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.

Combined, the linear equation will be:

y = 50x + 500

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0
2 years ago
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