MATHEMATICS MIDDLE SCHOOL

Let f(x)=e* and g(x)= X+6. What are the domain and range of (gºf)(x)?

Answers

Answer 1
Answer:

Answer:

Domain: Set of All Real Numbers. (-∞, ∞)

Range: (0, ∞)

Step-by-step explanation:

f(x)=e^(x)\ng(x)=x+6

We need to evaluate (gof)(x). (gof)(x) means the composition of function g(x) and f(x). In order to find (gof)(x) replace every occurrence of x in g(x) with the expression of f(x) as shown below:

(gof)(x)=g(f(x))\n\n =g(e^(x))\n\n =e^(x)+6

We have to find the domain and range of this composite function.

Domain:

The expression e^(x)+6 is defined for all Real Numbers. It never gets undefined for any value of x. Hence the Domain is set of All Real Numbers.

Range:

The range of the parent exponential function e^(x) is from 0 to positive infinity. The expression e^(x)+6 can be related to e^(x) as a vertical shifted function by 6 units upward. As a result the range will also be shifted up. So the range of the composite function will be from 6 to positive infinity. In interval notation this would be expressed as: (0, ∞)

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How many times larger is 5600 than 56

Answers

5600:56=100
5600 is 100 times larger than 56.

Final answer:

5600 is 100 times larger than 56. To find this, you divide 5600 by 56. Division here is used to calculate the ratio between two numbers.

Explanation:

To find out how many times larger 5600 is than 56, you need to divide 5600 by 56. Using a calculator or doing long division, you will find the answer to be 100. Thus, 5600 is 100 times larger than 56. This is a fundamental process in mathematics known as division, specifically used here to calculate the ratio between two numbers.

Learn more about Division here:

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Find the measure of the remote exterior angle.
mmm

Answers

Answer:

C. 16

Step-by-step explanation:

Two interior angles = One exterior angle.

x + y = z

4n -18 + n + 9 = 151 - 5n

4n + n + 5n = 151 + 18 -9

10n = 160

10n/10 = 160/10

n = 16°

ls the following statement with variability or without variability? "The number of students in PE each day."

Answers

It is with variability.

Please help. 1. The population of a town was 500 in 2010. The population grows at a rate of 9.6% annually. (a) Use the exponential growth model to write an equation that estimates the population t years after 2010. (a) Estimate the population of the town in 2020. Show your work.

Answers

Answer:

Ok I did the math. t= 1248.

Step-by-step explanation:

Multiplying 500 by 9,6% is the start. Then, multiply ever number after that. Ex. 500 x 9.6%=548.  Then multiply 548 by 9.6% and so on. Hope this helps!!

If y = x^3 - 1, find the value of y when x = 2.

Answers

y = x³-1

y = 2³ -1

y = 8 -1

y = 7

A CD store sold 3,467 CD's in 7 days. About the same number of CD's were sold each day. About how many CD's did the store sell each day

Answers

The answer is found by dividing 3,467 CD's by the 7 days. So your answer would be about 495 CD's were sold each day.
I am not sure if this is correct but I think the music store sold about 500 CD's each day
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