Advanced Placement (AP) College

HELP PLEASE


find the domain of f and write your answer in interval notation​

HELP PLEASEfind The Domain Of F And Write Your Answer In Interval Notation

Answers

Answer 1

Answer:

(-infinity, 9/8]

Explanation:

Domain is defined as all the possible x-values of a function.

[tex]f(x) = 7\sqrt{9-8x} +4[/tex]

Lets test some negative numbers.

[tex]f(-5) = 7\sqrt{9-8(-5)} +4 => 7\sqrt{49} +4 => a real solution[/tex][tex]f(-1) = 7\sqrt{9-8(-1)} +4 => 7\sqrt{17} +4 => a real solution[/tex]

OK! That means all negative numbers should work!

What about 0?

[tex]f(0) = 7\sqrt{9-8(0)} +4 => 7\sqrt{9} +4 => a real solution[/tex]

0 works..

Now, onto positive numbers?

[tex]f(1) = 7\sqrt{9-8(1)} +4 => 7\sqrt{1} +4 => a real solution[/tex]

[tex]f(2) = 7\sqrt{9-8(2)} +4 => 7\sqrt{-7} +4[/tex] => imaginary

Check the last value that works. It can only be 9/8 because that's where the square root becomes 0, which is the last value before you head into the imaginary numbers..

[tex]f(9/8) = 7\sqrt{9-8(9/8)} +4 => 7\sqrt{0} +4=>4[/tex]

(-infinity, 9/8]

Related Questions

PLEASE HELP!!

"After this fine last lesson I managed to make a small fire out of wet twigs, got a cup of tea, stripped off my dripping clothing, wrapped myself in a blanket and lay brooding on the gains of the day and plans for the morrow, glad, rich, and almost comfortable."

This detailed sentence, used to describe the writer's activities, reveals the writer's (5 points)

calculating ways
mournful outlook
detailed plans
utter exhaustion
optimistic attitude

Answers

answer:

mournful outlook

steps:

I guess because the person is brooding over his gains and brooding is thinking about something that makes them sad and also the fact that he gets cozy with a cup of tea and a blanket just to think about his day which was sad I guess though

what is a trade agreement the US is currently negotiating

Answers

Answer:

exporting trade I think

Answer:

The current US trade agreement is exportation...

Explanation:

#PLATOFAM

order was
Melissa went to the store to buy three ingredients she needed to finish dinner. Her three purchases cost $5.46,$0.99 and $2.35. What was the total amount of Melissa’s purchase before tax?

Answers

Answer:

the total amount was $8.80

Need Help
*Please Show Work*​

Answers

Answer:

Hey there!

15/25=x/55

825=25x

x=33

The house is 33 feet tall.

Hope this helps :)

Made a mistake in asking a question?

Answers

Answer:

The correct answer is

Here are five that you should avoid.

1.Asking a Question That Was Just Answered.

2.Asking About Something Completely Irrelevant.

3.Asking Questions That Aren't Questions.

4 Asking Questions That Are Ambiguous.

5.Asking the Wrong Person.

Explanation:

hope this works out!!!

Asking a question that the person said not to ask

Asking a insensitive question to a sensitive person

Asking a question that is irrelevant

Asking a question that may be misinterpreted

Asking a question about someone’s orientation

Which of the following student question resembles critical thinking?



Answers

Answer:

Critical thinking with students means that they can take information and analyze it, draw conclusions, form and defend opinions with data to back it up, reflect on their work, and approach problems in a systematic way.

Explanation:

The student question resembles critical thinking take information and analyze it, draw conclusions, form and defend opinions with data to back it up, reflect on their work, and approach problems in a systematic way.

What is critical thinking?

Critical thinking with students means that they can take information and analyze it, draw conclusions, form and defend opinions with data to back it up, reflect on their work, and approach problems in a systematic way.

A critical thinking includes sound professional judgment, uncomfortable and challenging decision making and action based on professional knowledge and experience.

Learn more about critical thinking

https://brainly.com/question/12980631

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The functional residual Capacity is obtained by adding together which of the following respiratory volumes

Answers

Answer:

1800 – 2200 mL. FRC = RV+ERV.

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