1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
drek231 [11]
3 years ago
7

Consider the function y = 9 - x2, where x ≥ 3. What is the inverse of the function? What is the domain of the inverse? Show all

of your work for full credit.

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:

The inverse of the function is y^{-1}=\sqrt{9-x}.

The domain of the inverse function is D:(-\infty,0],\{x|x\in \mathbb{R}\}

Step-by-step explanation:

Given : Function y=9-x^2 where, x\geq 3

To find : What is the inverse of the function? What is the domain of the inverse?

Solution :

Function y=9-x^2

To find the inverse we interchange the value of x and y,

x=9-y^2

Now, we get the value of y

y^2=9-x

y=\pm\sqrt{9-x}

As x\geq 3 so x>0

y=\sqrt{9-x}

The inverse of the function is y^{-1}=\sqrt{9-x}.

The domain of the inverse is the range of the original function.

The range is defined as the set of all possible value of y.

As x\geq 3

Squaring both side,

x^2\geq 9

Subtract x^2 both side,

9-x^2\leq 0

y\leq 0

The range of the function is R:(-\infty,0],\{y|y\in \mathbb{R}\}

The domain of the inverse function is D:(-\infty,0],\{x|x\in \mathbb{R}\}

Brilliant_brown [7]3 years ago
5 0
Hello,
Please see the attached file.
Thanks.

You might be interested in
You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gallons per mile. Which equation best represents this info
Marina86 [1]
0.03x + 15 y = 0.03x - 15 y = -0.03x + 15 y = -0.03x - 15
5 0
3 years ago
Read 2 more answers
Evelyn goes to a middle school that includes grades 6, 7, and 8. She wants to estimate the percentage of students in the school
morpeh [17]
<span>B. The sample might not be representative of the population because it only includes students who are attending an after-school activity.</span>
7 0
2 years ago
Read 2 more answers
Explain how two amounts of change can be the same but the percent of change can be different
densk [106]
If I understand the question correctly, you can have the same amount of change be two different percentages by having 4 quarters and 100 pennies.
Each quarter is 25%
Each penny is 1%
(am i explaining this right)
5 0
3 years ago
Please help ASAP please
lesantik [10]

The answer is 1 19/80 or 1.2375.

Hope this helps!

3 0
3 years ago
HHEEEEEEEEEEEELLLLLLLPPPPPPPPPPPP does anyone know the answer to this
Murrr4er [49]

Answer:

Step-by-step explanation:

Sorry i dont know

8 0
2 years ago
Other questions:
  • If Jamie has five dollars and purchases a soda for one dollar and fifteen cents, how much change does Jamie get back
    14·2 answers
  • You have a pizza with diameter 12
    7·2 answers
  • Which of the following equations represent linear functions?
    15·1 answer
  • What is 25 % off $249
    5·2 answers
  • Please help Geometry 30 points plus brainliest ...
    9·1 answer
  • Select all the correct answers.
    9·1 answer
  • How far is Raleigh from Poplar Bluff?
    11·2 answers
  • Help please Brainiest to whoever is correct
    8·2 answers
  • BRAINIST &amp; 30 POINTS
    13·1 answer
  • Please explain the full equation
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!