g(x)= x^2+1 I need help finding the inverse function to this. work must be shown

Answers

Answer 1

Answer:

[tex]\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}[/tex]

Step-by-step explanation:

[tex]g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1[/tex]

Answer 2

[tex]g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}[/tex]


Related Questions

Natural numbers are ? Integers

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Answer:

natural numbers are the positive numbers that begins from 1 ...

but integers include natural numbers , it's negative and zero

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Answer:

11y is the exact value.

Step-by-step explanation:

PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!

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Answer:

See below

Step-by-step explanation:

1) Total points = 252) Points earned = 213) Percent score = 84%

Proportion:

21 / 25 = 84% / 100%

Solving the others in the table

21 out of 25 points:

21/25 = x/ 100 ⇒ x = 100*21/25 = 84

15 out of 20 points:

15/20 = x/100 ⇒ x = 100*15/20 = 75

47 out of 50 points:

47/50 = x/100 ⇒ x = 100*47/50 = 94

28 out of 30 points:

20 / 30 = x/100 ⇒ x = 100*20/30 = 66.66

19 out of 45 points:

19/45 = x/100 ⇒ x = 100*19/45 = 42.22

3 out of 4 points:

3/4 = x/100 ⇒ x = 100*3/4 = 75

Find the value of y.

Answers

Answer:

y = 155

Step-by-step explanation:

6x + 1 = 2x + 17

x = 4

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I hope that this helps!!

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Answer:

Nothing is hard if you put your mind to it.

Step-by-step explanation:

pls find prism if you find it your littearly a pro hacker ​

Answers

Answer:

24 cubic units

Step-by-step explanation:

Given, in picture,

It is a rectangular prism.

It's length in units = 4

It's breadth in units = 2

It's height in units = 3

Therefore,

Volume of the given rectangular prism

= length × breadth × height

= 4 units × 2 units × 3 units

= 24 cubic units (Ans)

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Answer:

60 Sana po makatulong pa brainlest please

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Answers

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

Answer:

20:12

Step-by-step explanation:

if you multiply 5:3 by 4, they'll end up with 20:12.

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Answers

the domain is the first one and the 2nd one (going down) is the range

here are the correct answers :)

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Answer:

5.62790697674

Step-by-step explanation:

there you go

Answer:

the annswer is 5

Step-by-step explanation: you just have to divide the highlighted numbers, which are 20 ÷ 5

Last month 288 people attended the monthly bingo night. This month 243 people attended bingo night. To the nearest tenth of a percent, what is the percent decrease in attendance from last month to this month? Enter your answer as a decimal in the box. %

Answers

Answer:

15.625

Step-by-step explanation:

old number = 288

new number = 243

percent decrease = (old - new / new ) * 100

= (288 - 243 / 288) * 100

= 45 / 288  * 100

= 15.625

Answer:

15.6 (rounded)

Step-by-step explanation:

I took the test

Find the square of the given algebraic expression (p+9).




I mark u brainliest answer​

Answers

(p+9)^2
(p+9)(p+9)
First multiply p by p+9
p^2+9p
Then multiply 9 by p+9
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Add these two
p^2+9p+9p+81
Add like terms
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Amakiri spent N125 for a camera and some film. The camera cost N100 more than
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Answers

Answer:

90%

Step-by-step explanation:

N125 = 2x + N100

2x = N25

x = N12.5

camera = N100 + N12.5 = 112.5

Total = N125

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(112.5 / 125) x 100 = 90%

Assume that x is a positive acute angle.
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Answers

Answer:

its sophisticated but answer is 3

Step-by-step explanation:

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What is 55% of 20?!?!?!

Answers

Answer:

11

Step-by-step explanation:

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

use the method:

is/of and %/100

plug in 55 for the percent, and 20 for 'of'

should be: x/20 and 55/100

cross multiply to get 11.

 

1%of 20 is 0.2 0.2x5=1         5% of 20 is 1

10% of 20 is 2 2x5=10          50% of 20 is 10

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That is just how i do it to make it easier for others, and sometimes for me.

Maria spends 9/10 hour on her art project. Juan spends 2/6 hour on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his?

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C. 3/4 hrs
D. 1 hr

Answers

Answer:

B. 1/2 hrs

Step-by-step explanation:

make the denominator the same

27/30         10/30

27-10= 13

13/30

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Answers

Answer:

10 units

Step-by-step explanation:

Area of smaller ∆ ,

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Answers

Answer:

d= 4

Step-by-step explanation:

Help help help help

Answers

Answer:

a = (3,6)

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c = (-12,-6)

Step-by-step explanation:

Multiply the values of the cordinates by the 3.

(1.2)

3,3

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3,3

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Try that one C~-12,-6

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Answers

What difference? You just said "Find the difference of 651", but what am I subtracting by? What equation?

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Answers

The value of 1 unit would be 2! :)

SectionA
find A and B?
B=
6 9-5
A:
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4 16 6
7
8 4
1 2 -9
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9 6

Answers

Answer:

B=24

A= I don't know what that means

Step-by-step explanation:

Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9

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Answers

How you know if a system is consistent or inconsistent or dependent without graphing:

If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.

Hope this helps.

help me please i really need it I need solution.​

Answers

Answer:

Step-by-step explanation:

1. To figure this out, you need to first convert the percentage to a decimal. To do this, you move the decimal two places back. 75.0% -> 0.75

40 * 0.75 = 30 students are present, because 75% of 40 is 30

40 - 30 = 10 students are absent, because 30 students are present.

2. To figure this out, you must do the same thing you did for number 1 above. It would look like this: 80% -> .80

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Two angles of a quadrilateral measure 325° and 10°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

The answer is 60 and 80

Step-by-step explanation:

Write the ratio as a ratio of whole numbers using fractional notation.
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Answers

Answer:

15:8=15/8

Step-by-step explanation:

45:24=45/24

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Answers

Answer:

11.1

Step-by-step explanation:

The percentage error for the given data will be 12.5%

What is the percentage?

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

The percentage error will be calculated as:-

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In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:

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Learn more about percentage error on:

brainly.com/question/5493941

#SPJ2

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Answers

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This is the answer I believe, I apologize if it’s incorrect

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Answer:

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what is 5 times 3 times 7 add 7

Answers

Answer:

5*3*7+7=112

Step-by-step explanation:

5*3*7=105+7=112

Answer: 112

Step-by-step explanation:

5 x 3 x 7 + 7

5 x 3 = 15

15 x 7 = 105

105 + 7 = 112

Answer is 112

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