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Alona [7]
2 years ago
8

If f(x) =

absmiddle" class="latex-formula">, what is the equation for f–1(x)?
Mathematics
2 answers:
Simora [160]2 years ago
7 0

Answer:

(x-3)^2

Step-by-step explanation:

y = sqrt(x) +3

To find the inverse , we exchange x and y and then solve for y

Exchange x and y

x = sqrt(y) +3

Now solve for y

Subtract 3 from each side

x-3 = sqrt(y)

Square each side

(x-3)^2 = (sqrt(y))^2

(x-3)^2 = y

The inverse of  sqrt(x) +3  is (x-3)^2

Igoryamba2 years ago
5 0

Answer:

f⁻¹(x) =  (x-3)² is the inverse of given function.

Step-by-step explanation:

We have given function:

f(x) =√x +3

W e have to find the inverse of the given function.

Let y = f(x) then

y = √x +3

First, we interchange x and y we get,

x =√y +3

then solve the above equation for y we get,

√y = (x-3)

Squaring  both sides we get,

y= (x-3)²

Replacing y to f⁻¹(x) we get,

f⁻¹(x) =  (x-3)² is the inverse of given function.

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Answer:

2267.97 grams

Step-by-step explanation:

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Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).
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3 years ago
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According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exa
VMariaS [17]

The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.

<h2>Given</h2>

Number of voters who support ballot initiative = 30 % = 0.30

Number of voters who does not support this initiative = 1 - 0.30 = 0.70

Number of voters selected for Surveying = 5

<h3>What is probability?</h3>

The probability of success and failure remain the same throughout the trials.

The probability that exactly 2 voters will be in favor of the ballot initiative is given by;

If P denotes Success and Q denotes failure;

\rm = ^{5}C_2 \times (0.3)^2 \times (0.70)^3\\\\= 10 \times 0.09 \times 0.343\\\\= 0.309

Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.

To know more about Probability click the link given below.

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3 0
2 years ago
a triangle with a base length (b) of 24 feet had an ares of 252 square feet. what is the height (h) of the triangle? (A=1/2bh)
agasfer [191]

Answer:

21

Step-by-step explanation:

A=1/2bh

252=1/2(24)(h)

multiply 1/2 and 24

252=12(h)

divide ( 252/12 12/12)

h=21

5 0
3 years ago
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