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vagabundo [1.1K]

3 years ago

14

Which words make this statement true?

1 answer:

yan [13]3 years ago

4 0

-4 is Less than -3 is the answer

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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

4 years ago

72 = –6(y + 37)<br> plz help

AlladinOne [14]

Answer:

-49

Step-by-step explanation:

you can first divide both sides by -6

so

-12 = y+37

so y = -12-37 = -49

8 0

3 years ago

Need helppp please!!!!!!

Zielflug [23.3K]

b is an ipotenuse, so b > a and 2a+b>3a

8 0

3 years ago

What value of x is in the solution set of 2x - 3 > 11 - 5x<br><br><br> -3<br> 0<br> 2<br> 4

Misha Larkins [42]

<u>Answer:</u>

The answer is D : 4.

<u>Step-by-step explanation:</u>

<em>=2x-3>11-5x</em>

<em>=2x-3+5x>11</em>

<em>=7x-3>11</em>

<em>=7x>11+3</em>

<em>=7x>14</em>

<em>=7x/7>14/7</em>

<em>=x>2</em>

<em />

<em />

<em>By simplifying the problem, you can see that "x" </em><em><u>must</u></em><em> be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4. </em>

<em />

<em />

<em>I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me. </em>

4 0

3 years ago

Read 2 more answers

a toothpaste shop 500 tubes were sold in August and managers hoping to boost sales 20% in September how many toothpaste tubes mo

Alexus [3.1K]

500×.20=100
500+100=600
600 toothpaste tubes

6 0

3 years ago