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3 years ago

6

Maria and her friend ride their bikes. They start at 12:47 and end at 2:29. How long did they ride their bikes for?

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer:

Their bide ride was 1 hour and 42 minutes

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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

3 years ago

If 4 bags of corn can feed a herd of cows for 6 days, how many bags will feed the herd for 9 days ?

VARVARA [1.3K]

Well, if 6/4 equals 1.5 --

Then 1.5*5, (which is the next quantity of days before it hits 9) equals 7.5.

Hope this helps.

7 0

3 years ago

What is 3/5 times 1/3 in simplest form

djverab [1.8K]

3/5×1/3=1/5×1/1=1/5 so 1/5 is you answer

8 0

3 years ago

Read 2 more answers

Which of the following is the value of x?<br><br> A. 2<br><br> B.11<br><br> C. 20 <br><br> D. 29

Lunna [17]

Answer:

c

Step-by-step explanation:

180= 45+ (5x+35)

-45 -45

135 = 5x + 35

-35 -35

100 = 5x

/5 /5

x=20

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3 years ago

A nwuni, cherit and Orman entered into a business

FromTheMoon [43]

Sorry i just need points, hope you get ur answer

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3 years ago