What is the domain and range of the inverse of: f (x)= (x + 2)² - 1

Answers

Answer 1

Answer:

The inverse of this function is a parabola that has been rotated 90 degrees clockwise, with it's vertex at point 1, 0.

So it's domain is x ≥ 1

And it's range is y ≥ -2

Step-by-step explanation:

Given:

f(x) = (x + 2)² - 1

First we find the inverse:

x = (f(x) + 2)² - 1

x - 1 = (f(x) + 2)²

√(x - 1) = f(x) + 2

f(x) =  -2 ± √(x - 1)


Related Questions

19/36 - ⅜ =???????????????????????????

Answers

Answer:

1936−3/8=11/72

Step-by-step explanation:

19/36−38=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(19/36, 3/8) = 72

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(19/36×22)−(38×99)=?

Complete the multiplication and the equation becomes

38/72−27/72=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

38−27/72=117/2

This fraction cannot be reduced.

Therefore:

1936−38=11/72

(Some of the numbers might be a fraction)

Which linear equation corresponds to the line graph.

y=3x

y=x-2

y=1/3x

y=2x​

Answers

Answer Y=1/3x bc 2/6 reduces to 1/3

BRAINLIEST FOR THE CORRECT ANSWER What is the slope-intercept equation for the line below?

Answers

Answer:

y=-2x-1

Step-by-step explanation:

Answer: y = -2x - 1

Step-by-step explanation:

b = -1m = - 2


(x - 1) (x - 2) (0 - 3) = 0

Answers

Answer:

1 or 2

Step-by-step explanation:

one of the parentaziz has to equal 0 because anything multiplies by 0 is 0

Answer:

(−1)(−2)(0−3)=0

(−1)(−2)(−3)=0

−3(−1)(−2)=0

−32+6+3(−2)=0

−32+6+3−6=0

−32+9−6=0

= −9+3/−6 = 1

= −9−3/−6 = 2

Step-by-step explanation:

7 1/2 divided by 3/4 please explain

Answers

Answer:

10 please mark brainliest if satisfied

Step-by-step explanation:

When Dividing fractions, use the reciprocal of 3/4

7 1/2 times 4/3 equals

10

Answer:

10

Step-by-step explanation:

You would do something called KCF Keep, Change, and Flip.

You would keep the 7 1/2 and change the divided sign to multiplying sign and flip the 3/4 so its a 4/3 and then multiply it.

15/6 times 4/3. 15 x 4 = 60

                           2x3=   6

so I can be 60/6 but you would simplify and 6 goes into 60  10 times. so 10 is you answer

Solve for f
-f + 2+ 4f = 8 - 3f

Answers

Answer:

f = 1

Step-by-step explanation:

-f + 2 + 4f = 8 - 3f

First, I'll add like terms.

2 + 3f = 8 - 3f

Then, I'll add 3f on both sides.

2 + 6f = 8

Next, I'll subtract 2 on both sides.

6f = 6

Finally, I'll divide 6 on both sides.

f = 1

Therefore, f = 1.

please...look a the image I would appreciate it... and explain it..to

Answers

Answer:

1) 0.9 = 9/10

2) 2 x (4² - 5) = 2 x (16-5) = 2 x 11= 22

3)  t/4=16 16*4=t 64=t t=64

4) 2.4p=7.56  p=7.56/2.4  p=3.15

5) 8*5=40m² 40*4=160m³ v=160m³

6) 3x=27  x=27/3  x=9

Your job pays you $10.75/hr. and last week you worked 48 hrs. Your gross pay is $​

Answers

Answer: $516

Step-by-step explanation:

Just multiply 48x10.75

Answer:

Its 4.4

Step-by-step explanation:

Pllllllzzzzzzzzz help me

Answers

Answer:

for the first one he will get $51

the second one is £2.70

Step-by-step explanation:

A 6 foot tall baby giraffe standing next to an adult elephant casts a 15 ft shadow if the adult elephant casts a shadow that is 20 ft long then how tall is it

Answers

Answer:

29 ft

Step-by-step explanation:

15-6 = 9

20+ 9 = 29

A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at random from telephone listings. Of these 68 return the questionnaire as a percent what is the proportion of businesses who did not respond

Answers

Answer: The proportion of businesses who did not respond = 54.67%

Step-by-step explanation:

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

[tex]\dfrac{\text{Businesses did not respond}}{\text{Total businesses}}\times100[/tex]

[tex]=\dfrac{82}{150}\times100=54.67\%[/tex]

Hence, the proportion of businesses who did not respond = 54.67%

Solve for p. i = prt

Answers

Answer:

p=i/rt

Step-by-step explanation:

its p= i over rt

is y=6x+7 proportional or not proportional

Answers

Answer:

it is proportional

Divide using synthetic division.
(4x^2 – 13x - 5) / (x - 2) =

Answers

Answer:

The answer is on the photo below. Sorry, brainly wouldn't let me type the fraction here for some reason.

Step-by-step explanation:

i need help with math please​

Answers

The answer is 40
Source:Trust me Bro
Due to the fact that each problem is worth 2 points, 50x2=100 I believe you would get 40 answers correct in order for the percentage to be 80

Pls help if your good at math I’ll mark brainliest and a thank you:)


A. -1/2
B. 2
c. 1 / 2
D. -2

Answers

Answer:

C.  1/2

Plzzzzz give me Brainliest!!!!!  

2x+2y=16
Standard to slope intercept form.

Answers

First bring the 2x to the other side:

2y = -2x + 16

Then divide by 2 to get y by itself, which the answer is

y = -x + 8


The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation 2x + 2y = 16 in slope-intercept form is

y = -x + 8.

Where slope = -1 and y-intercept is 8

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

We have the equation as,

2x + 2y = 16

We need to convert in the form of y = mx + c.

Subtract 2x on both sides.

2y = -2x + 16

Divide both sides by 2.

y = (-2x + 16) / 2

y = -x + 8

This is in the form of slope-intercept form.

Where slope = -1 and y-intercept is 8

Thus,

The equation 2x + 2y = 16 in slope-intercept form is

y = -x + 8.

Where slope = -1 and y-intercept is 8

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

2nd term in expansion of (3y + x)3

Answers

Answer:

9y+3x

Step-by-step explanation:

Answer:
9y + 3x

Explanation:
3y x 3 = 9y
3 x X = 3x

Geometry urgent help

Answers

Answer:

(7,1)

Step-by-step explanation:

Answer:

(7,1)

Step-by-step explanation:

(0,6)

0 = x

6 = y

(x + 7 y - 5)

(0 + 7,6 - 5)

(7,1)

I NEED HELP IN MATH, I DONt KNOW HOW TO DO THIS

Answers

Answer:

−a³b²c² − a²b³c² + a²b²c³

Explanation:

( ((−a²)(b²))(c²)) (a + b − c)

= ( ((−²2)(b²))(c²)) (a + b + −c)

= ( ((−a²)(b²))(c²)) (a) + ( ((−a²)(b²)) (c²)) (b) +( ((−a²)(b²)) (c²))(−c)

= −a³b²c² − a²b³c² + a²b²c³

- PNW

Witch pair of lines are perpendicular
A) y= 4x - 6
y= 4x + 11
B) y= -4x - 6
y= 4x + 11
C). y= 1/4x - 6
y= 4x + 11
D). y= -1/4x - 6
y= 4x + 11

Answers

Answer:

Step-by-step explanation:

Solve for x..........................

Answers

Answer:

3

Step-by-step explanation:

If your talking about the x where it says 3x in, then

3x = 9

x = 3

Write an equation for a line that is parallel to y = -3x – 5 that goes through the point (-1, 8)

Answers

Answer:

y = -3x +5

Step-by-step explanation:

Parallel means that both slopes are the same.

This gives us y = -3x + C so far.

To find the y-intercept, we need to get x to 0.

Since we know the point (-1, 8), we can plug the number in into our equation

y = -3x + C.

8 = -3(-1) + C

8 = 3 + C

8 - 3 = C

5 = C or C = 5.

Now plug in C into our unsolved equation to get y = -3x +5.

Jana went to lunch at 12:30 p.m. She finished lunch at 2:07 p.m.
About how much time did Jana spend at lunch?

Answers

Answer:

1 hour and 37 minutes

Step-by-step explanation:

(pls mark brainliest if u can)

Answer:

2:20

Step-by-step explanation:

Two students that are on the same longitudinal line are approximately 5400 miles apart. The used an inclinometer,
a little geometry, and a tangent line to determine the that mABM = 86.17º and
mBAM =92.54º. The two students form a central angle of 85.9° with the center of the
earth Given this information determine how far each student is away from the from the moon? (i just need help finding the radius!!!!)

Answers

Answer:

3963 miles

Step-by-step explanation:

Alina, Robert, and Makayla are on the student council at their high school.
They all want to go to a dinner where student council representatives from
other schools will participate. However, only one student per school can go.
How can a fair decision be made about who goes to the dinner?
Select all that apply.
I A. Roll a number cube. If the number is even, Alina wins. If the
number is 1 or 3, Robert wins. If it's any other number, Makayla
wins.
B. Write each student's name on a slip of paper and put the slips in a
bag. Randomly draw a slip of paper. The student whose name is
on the paper wins.
C. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2
or 4, Robert wins. If it lands on 5 or 6, Makayla wins.
D. Flip a coin twice. If both tosses are heads, Alina wins. If both are
tails. Makavla wins. If one is heads and one is tails, Robert wins.

Answers

Answer:

B. Write each student's name on a slip of paper and put the slips in a

bag. Randomly draw a slip of paper. The student whose name is

on the paper wins.

C. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2

or 4, Robert wins. If it lands on 5 or 6, Makayla wins.

Step-by-step explanation:

The ways a fair decision can be made about who goes to the dinner from the list of available options is as follows:

B. Write each student's name on a slip of paper and put the slips in a bag. Randomly draw a slip of paper. The student whose name is on the paper wins.

C. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2  or 4, Robert wins. If it lands on 5 or 6, Makayla wins.What is probability?

Probability is simply how likely something is to happen. This is used whenever one is not sure about the outcome of an event.

Therefore the correct answers are option B and option C.

Read more about probability here:

https://brainly.com/question/24756209

Write the numbers in order from least to greatest. -8, 20/2, 2, -13, -5, 6/2

Answers

Answer:

The correct order is: -13,-8,-5,-2,6/2,20/2

Step-by-step explanation:

When in the negatives the lower number is the highest. And the fractions you can divide so 6 divided by 2 is 3, and 20 divide by 2 is 10

Please help, will reward brainliest.

Answers

Answer:

$9-11

Step-by-step explanation:

What is the value of x?
-7x + 12 = 5

Answers

Answer:

-7x=-7

x=1

...........

Answer:

1

Step-by-step explanation:

-7x + 12 = 5

-7x = 5 - 12

-7x = -7

x = 1

Please answer fast!!!

Answers

Answer:

it's the 2and answer because

Step-by-step explanation:

1,15 is not the same ratio of 2,24

Answer:

No, because 1:15 is not the same ratio as 2:24.

Step-by-step explanation:

2/24 reduces to 1/12 not 1/15 so these ratios are not the same.

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