Look at the function f(x) = −x + 5. Which of the following describes the domain and range of the function and its inverse?

Answers

Answer 1
Answer:

Answer:

The inverse is g(x)=-x+5.

Both f and g have domain and range all real numbers.

In interval notation that is (-\infty,\infty)

Step-by-step explanation:

f(x)=-x+5 is a linear function.

Since isn't f(x)=constant then it is diagonal so this means the range is all real numbers.

For any linear function, the domain will be all real numbers.  

So to find the inverse of y=-x+5, you interchange x and y and resolve for y.

y=-x+5

(interchange)

x=-y+5

(solve for y)

Subtract 5 on both sides:

x-5=-y

Multiplying both sides by -1:

-x+5=y

So the inverse is g(x)=-x+5. To find find the domain and range of the inverse function given you already did it for the original function, the sets are swapped.  The sets were the same here because they were both all real numbers.

Answer 2
Answer:

Answer:

Domain of this function become R

Step-by-step explanation:


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The amount of time is takes dora to commute to work is always within 5 minutes of the average number of minutes the commute takes. If the average ammount of time she takes to get to work is 45 minutes

Answers

Answer:

The average time to commute to work is 25 minutes.

Step-by-step explanation:

If average time for Dora to commute to work is 5 mins. If she takes 45 mins to get to work then her overall average time to commute to work will change as the average consists of 2 or more figures. The average time to commute to work is 25 mins ((5+45)/2). The average of 5 mins and 45 mins is 25 mins. This is the overall average time she takes to commute to her work.

A family spends 1/10 of its annual income for housing, 1/4 for food and clothes, 1/5 for general expenses, and 2/15 for entertainment. What fractional part of their income is spent on these items altogether? A. 1/7
B. 6/41
C. 41/60
D. 11/12

Answers

Add all the fractions together:
to do this find the lcd:
which is 60
1/10 = 6/60
1/4= 15/60
1/5= 12/60
2/15= 8/60
add them together
(6+15+12+8)/60
41/60 or C is the answer

C is the right answer
Thank you

What is the area of a square with sides of length 6?

Answers

Answer:

36

Step-by-step explanation:

6 squared

Answer:

A= 36

Step-by-step explanation:

How to you get the mean in math

Answers

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.

1. Use properties of logarithms with the given approximations to evaluate the expression. Use logb2=0.693 and/or logb6=1.792 to find logb12.2. Complete parts (a) and (b). a. Write the inverse of y=8x in logarithmic form. b. Graph y=8x and its inverse and discuss the symmetry of their graphs.3. 2log2^15 EVALUATEUse properties of logarithms with the given approximations to evaluate the expression.loga3≈0.477andloga5≈0.699.Use one or both of these values to evaluate loga27.Write as a single logarithm. Assume that variables represent positive numbers.5log2x+2log2zOn the basis of data for the years 1918 through1997, the expected life span of people in a country can be described by the functionf(x)=12.576ln x+17.088 years, where x is the number of years from1905 to the person's birth year. What does this model estimate the life span to be for people born in 1941?This model estimates that the life span for people born in1941 is

Answers

1. Use properties of logarithms with the given approximations to evaluate the expression. Use log2=0.693 and/or log6=1.792 to find log12.

Answer: log12 = log6 + log2 = 1.792 + 0.693 = 2.485.



2. Complete parts (a) and (b).

a. Write the inverse of y=8x in logarithmic form.

Answer: log8(y) = x.



b. Graph y=8x and its inverse and discuss the symmetry of their graphs.

Answer: The graph of y=8x and its inverse will have the same shape, but it will be flipped across the line y = x. This is known as the symmetry of their graphs.



3. 2log215 EVALUATE Use properties of logarithms with the given approximations to evaluate the expression. log3≈0.477 and log5≈0.699. Use one or both of these values to evaluate log27. Write as a single logarithm. Assume that variables represent positive numbers. 5log2x+2log2z

Answer: log27 = log5 + log3 = 0.477 + 0.699 = 1.176.



4. On the basis of data for the years 1918 through 1997, the expected life span of people in a country can be described by the function f(x) = 12.576ln x + 17.088 years, where x is the number of years from 1905 to the person's birth year. What does this model estimate the life span to be for people born in 1941?

Answer: This model estimates that the life span for people born in 1941 is 70.698 years.

For further information on Logarithms, refer below:

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In a survey, 44% of the people said they voted for Mr. Johnson, while 2/5 of the people said they voted for Ms. Smith. Which group is larger? Explain.

Answers

Since 2/5 is equivalent to 4/10 = 40%, then the group which voted for Mr. Johnson is the larger group since they are 44%.
44% Is Bigger Because 2/5 is Only 40%