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ollegr [7]
3 years ago
10

If the composition of two functions is:

Mathematics
1 answer:
NARA [144]3 years ago
8 0

9514 1404 393

Answer:

  x ≠ 3

Step-by-step explanation:

In any case, the domain is restricted to values of the variable for which the function is defined. The value 1/0 is not defined, so the variable cannot allow the denominator to be zero. The denominator x-3 will be zero for x=3, so that value of the variable cannot be in the domain.

The domain is all real numbers except x=3.

_____

<em>Additional comments</em>

It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.

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Someone please help I'll give brainliest for questions 11 and 12
Nostrana [21]

Answer:

Step-by-step explanation:

11.

to find floor area:

= 8 x 8

= 64

= Floor is 64m.

to find carpet: 8 x 8 x 75%

= 64 x 75%

= 64 x 0.75

= 48

a. The dimensions of the carpet are probably 8 by 8.

b. The area of the floor not covered by carpet is 64, hence 8 x 8.

12.

A perfect square is a square that has demensions that is a number multiplied by itself.

Eight times eight fits the requirements, so this square is in fact perfect.

Have a lovely day!

4 0
3 years ago
No body helped me :'(
ziro4ka [17]
What was your question that was never answered?
6 0
3 years ago
Question 2 of 4
Alexxandr [17]

Answer:

The time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

Step-by-step explanation:

The function for the height of the bottle rocket (in feet), <em>t</em> seconds after  it is launched is:

h(t)=1157-16\ t

Compute the value of <em>t</em> as follows:

h(t)=1157-16\ t

200=1157-16t

 16t=1157-200\\16t=957\\

     t=59.8125\\t\approx60

Thus, the time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

8 0
3 years ago
Find 5 rational numbers between 3/5 and2/3​
Novay_Z [31]

Answer:

The 5 rational are 91/150 , 92/150 , 93/150 , 94/150 , 95/150

Step-by-step explanation:

We have to fine 5 rational numbers between

3/5 and 2/3

First we have to make the denominator same

3/5= 3/5 ×3/3 = 9/15 =9/15×10/10 =90/150

2/3 = 2/3×5/5 = 10/15 = 10/15×10/10 = 100/150

The 5 rational numbers are

91/150 , 92/150 , 93/150 , 94/150 , 95/150

hope this helps :)

3 0
3 years ago
For every 1% increase in
givi [52]

Answer:

The GDP gap is 9 % when there is 4.5 % unemployment.

Step-by-step explanation:

The statement shows a reverse relationship, where an increase in unemployment is following by decrease in potential GDP and can be translated into the following rate:

r = \frac{2\,\% \,GDP}{1\,\% unemp.}

The GDP gap at a given increase in unemployment can be estimated by the following expression:

\frac{g}{u} = r

g = r\cdot u

Where:

r - GDP gap-unemployment increase rate, dimensionless.

u - Increase in unemployment rate, measured in percentage.

g - GDP gap, measured in percentage.

If r = \frac{2\,\% \,GDP}{1\,\% unemp.} and u = 4.5\,\%\,unemp., the GDP gap is:

g = \left(\frac{2\,\%\,GDP}{1\,\%\,unemp.} \right)\cdot (4.5\,\%\,unemp.)

g = 9\,\%\,GDP

The GDP gap is 9 % when there is 4.5 % unemployment.

3 0
3 years ago
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