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3 years ago

Can someone help me please

Mathematics

1 answer:

babunello [35]3 years ago

4 0

If the functions are inverses, then f(g(x)) = x.

$\displaystyle f(g(x))=f\left(\frac{3x+1}{3}\right)=\frac{1}{\frac{3x+1}{x}-3}\\\\=\frac{1}{\left(\frac{3x+1-3x}{x}\right)}=\frac{1}{\left(\frac{1}{x}\right)}=x$

The functions are inverses of each other.

B. The domain of f(x) = x≠3. The domain of g(x) is x≠0.

The domain of f(g(x)) is (-∞, 0) ∪ (0, ∞).

The domain of g(f(x)) is (-∞, 3) ∪ (3, ∞).

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Answer:

x=18, y= 6

Step-by-step explanation:

if x+y=24

x= 24- y

in second case

x= 3y

24_ y = 3y

24=4y

y= 6

hence x = 24 _6 = 18

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2 years ago

Find the diameter, approximate circumference and area of the circle below. (Use 3 for π)

vovikov84 [41]

Answer:

Circumference = 42

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Step-by-step explanation:

7x2=14 diameter

3x14=42 circumference

Area = 7x7x3 =147 to the power of 2

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3 years ago

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He will mix 12.55 ounces together

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2 years ago

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What is sin 0 when sec 0 = 5? 0 |(1,0) sin e = 2[?] [] Rationalize the denominator if necessary.

Komok [63]

Answer:

$Sin ~0 =\frac{2\sqrt{5} }{5}$

Step-by-step explanation:

$sec0=\sqrt{5}$

$cos~0=\frac{1}{sec0} =\frac{1}{\sqrt{5} }$

$sin ~0=\sqrt{1-cos^2~0}$

$=\sqrt{1-1/5}=\sqrt{5-1/5}$

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$Sin~0=2\sqrt{5}/2=2\sqrt{5}/5$

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hope it helps...

have a great day!!!

7 0

3 years ago

The fuel efficiency in miles per gallon of all bmw 320i's is (approximately) normally distributed with a mean of 25 and a standa

grigory [225]

Given:
μ = 25 mpg, the population mean
σ = 2 mpg, the population standard deviation

If we select n samples for evaluation, we should calculate z-scores that are based on the standard error of the mean.
That is,
$z= \frac{x-\mu}{\sigma / \sqrt{n} }$

The random variable is x = 24 mpg.

Part (i): n = 1
σ/√n = 2
z = (24 -25)/2 = -0.5
From standard tables,
P(x < 24) = 0.3085

Part (ii): n = 4
σ/√n = 1
z = (24 -25)/1 = -1
P(x < 24) = 0.1587

Part (iii): n=16
σ/√n = 0.5
z = (24 - 25)/0.5 = -2
P(x < 24) = 0.0228

Explanation:
The larger the sample size, the smaller the standard deviation.
Therefore when n increases, we are getting a result which is closer to that of the true mean.

6 0

3 years ago