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
nlexa [21]
3 years ago
6

The function f(x)=(x+4)^2+3 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inv

erse function.
A. restricted domain: x<= -4; f^-1(x)=-4+ sqrt x-3

B. restricted domain: x>=-4; f^-1 (x)=-4 - sqrt x+3

C. restricted domain: x>= -4; f^-1(x) =-4+ sqrt x-3

D. restricted domain: x<= -4; f^-1(x)= -4+ sqrt x+3
Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0

Answer:

C.Restricted domain :x\geq -4, f^{-1}(x)=-4+\sqrt{x-3}

Step-by-step explanation:

We are given that a function is not one - to-one.

f(x)=(x+4)^2+3

Suppose y=(x+4)^2+3

y-3=(x+4)^2

x+4=\sqrt{y-3}

x=\sqrt{y-3}-4

Hence, f^{-1}(x)=-4+\sqrt{x-3}

We know that domain of f(x) is converted into range of f^{-1}(x) and range of f(x) is converted into domain of f^{-1}(x).

Substitute x=3 then we get

f^{-1}(x)=-4

Domain of f^{-1}(x)=[3,\infty)

Range of f^{-1}(x)=[-4,\infty)

Domain of f(x)=[-4,\infty)

Restricted domain :x\geq -4

Hence, restricted domain of f(x) that makes the function one-to-one .

lawyer [7]3 years ago
7 0

Answer:

B.

Step-by-step explanation:

answer B is correct for Plato users!!!!

You might be interested in
What is the difference between the height and the slant height of a pyramid?
monitta
The height is always measured perpendicular to the horizontal surface on which the pyramid rests, whereas the slant height is measured perpendicular to one edge of the base to the vertex, and, as we would say, appears to be slanted.

8 0
3 years ago
Read 2 more answers
Please find missing side length, only if you know seriously
frez [133]
Ok so it’s 6.93 or 7 if u wanna round it
It’s the a^2+b^2=c^2
5 0
3 years ago
Read 2 more answers
Which of the graphs below represents the equation 8x − y = -4?
Akimi4 [234]

Answer:

8x-y+4=0

Step-by-step explanation:

because 8x-y+4=-4+4

8 0
3 years ago
Blank divided by 7 is greater than 800
mrs_skeptik [129]
15,000 divided by 7 is greater than 800 but this question could have a number of possible answers
6 0
3 years ago
Read 2 more answers
Let X be the random variable representing the number of calls received in an hour by a 911 emergency service. A portion of the p
ivolga24 [154]

For any distribution, the sum of the probabilities of all possible outcomes must be 1. In this case, we have to have

P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)=1

We're told that p=P(X=1)=P(X=2), and we're given other probabilities, so we have

0.25+2p+0.10+0.05=1\implies2p=0.6\implies p=0.3

The expected number of calls would be

E[X]=\displaystyle\sum_xx\,P(X=x)

E[X]=0\,P(X=0)+1\,P(X=1)+\cdots+4\,P(X=4)

E[X]=1.4

6 0
3 years ago
Other questions:
  • Which equation is graphed here?
    14·1 answer
  • What is the answer of these, how do you do these
    12·1 answer
  • Compare [3] and [ – 8|
    9·1 answer
  • Three more than the quotient of a number and 8 is 9
    6·2 answers
  • The following graph represents the quadratic parent function.<br> TRUE OR FALSE
    13·1 answer
  • Can someone please help me
    8·1 answer
  • What is the solution to the system of equations graphed below
    7·1 answer
  • Your friend has one week to pay the $26 fine for a parking ticket. After that, the fine Increases $7 each week. ​
    10·1 answer
  • A) What is the slope and the y-intercept of the equation?
    11·1 answer
  • Lydia writes the equation below with a missing value.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!