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kari74 [83]
1 year ago
8

What is the inverse of f(x)=(-2x+2)/(x+7)?

Mathematics
1 answer:
Nana76 [90]1 year ago
4 0

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

x \to y

f(x) \to x

x = \frac{-2\cdot y + 2}{y+7}

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

g(x) = \frac{- 7\cdot x + 2}{x + 2}

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

#SPJ1

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2.1 liters of coffee were equally distributed to 30 cups how many millimeters of coffee were in each cup
sattari [20]

Answer: 70 ml of coffee in each cup


Step-by-step explanation:

1 liter = 1000 ml

Amount of coffee given = <em>2.1 liters</em>

\Rightarrow <em>2.1 liters =  2.1 * 1000 = 2100 ml</em>

Total number of cups = 30

\therefore Amount of coffee in each cup = \frac{Total\ amount \ of \ coffee}{number\ of  \ cups} = \frac{2100}{30} =70

<em>∵ Amount of coffee in each cup </em>= <u>70 milliliters</u>

4 0
3 years ago
Read 2 more answers
Which graph shows a function and it’s inverse? <br><br> HELP PLEASE
TEA [102]

Answer:

C

Step-by-step explanation:

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Under a reflection in the line y = x

a point (x, y ) → (y, x )

In graph C

the red line has a point (0, 2 )

the blue line has a point (2, 0 )

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8 0
2 years ago
Urgent!! Help math!!
mylen [45]

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4 0
3 years ago
Zacarías and paz together have $756.80 if Zacarías has $489.50, how much does Paz have? Write and solve an addition equation to
boyakko [2]

ANSWER: Paz have $267.30

STEP BY STEP EXPLANATION

Let be Z for Zacarías and P for Pax

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P=756.80 - 489.50

P= 267.30

8 0
3 years ago
5. principal = $450<br> rate = 5%<br> time = 4 years<br> simple interest = _<br> compound interest =
tatiyna

Answer:

simple interest :90

Step-by-step explanation:

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Step 2: Multiply the 22.5 with the 4 years

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MAYBE

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3 years ago
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