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STatiana [176]
3 years ago
6

F(x) = -3x + 3, then f-1(x) =

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

f^{-1}(x) = \frac{3-x}{3}

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = - 3x + 3 ( add 3x to both sides )

3x + y = 3 ( subtract y from both sides )

3x = 3 - y ( divide both sides by 3 )

x = \frac{3-y}{3}

Change x back into terms of y

f^{-1}(x) = \frac{3-x}{3}

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I used elimination to solve this system of equations and found out that y = 1. What does x equal?
stepan [7]
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Substitute y for 1
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3 years ago
1. What is the ratio of black to white squares? (1 mark)<br> I
kati45 [8]

im sure it would be 2:4. if it was to be simplified it would be 1:2

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2 years ago
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Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,
grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60

Common ratio is:

r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02

So r = 1.02

The general form for geometric sequence is:

a_n = a_1r^{n-1}

Putting the first term and r

a_n = 1500 . (1.02)^{n-1}

To find the 9th month's balance

Putting n=9

a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

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3 years ago
What is the difference between the 5th multiple of 7 and 3rd multiple of 2 ?
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Answer:

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3 years ago
What’s the equation for <br> (-1, 2), slope = 3
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Y=3x+b
HOPE THIS HELPED
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