Find the linear function f if f^-1(2)=-1 and f^-1 (-9)=3

Answers

Answer 1

Answer:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

Step-by-step explanation:

We want to find the linear function given that:

[tex]f^{-1}(2) = -1\text{ and } f^{-1} (-9) = 3[/tex]

Recall that by the definition of inverse functions:

[tex]\displaystyle \text{If } f(a) = b\text{ then } f^{-1}(b) = a[/tex]

In other words, f(-1) = 2 and f(3) = -9.

This yields two points: (-1, 2) and (3, -9).

Find the slope of the linear function:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(-9) - (2)}{(3) -(-1)} = -\frac{11}{4}[/tex]

From point-slope form:

[tex]\displaystyle y - (2) = -\frac{11}{4}( x- (-1))[/tex]

Hence:

[tex]\displaystyle f(x) = -\frac{11}{4}(x + 1) + 2[/tex]

We can simplify if desired:

[tex]\displaystyle f(x) = -\frac{11}{4}x -\frac{3}{4}[/tex]


Related Questions

Edge Algebra 2 Q4 Answers:
1. B
2. C
3. A
4. C
5. A
6. D
7. B
8. A
9. D
10. B

Answers

Answer:

Step-by-step explanation:

1. C

2. A

3. B

4. A

5. D

6. C

7. A

8. C

9. B

10. D

Combine Like Terms
3. What is the simplest expression equivalent to 12xy + 20x - 9 - 11xy - 3x + 15?
-Xy+17-6
xy+23x+24
23xy+17X+6
xy+17X+6

Answers

Answer: Fourth Choice. xy + 17x + 6

Step-by-step explanation:

Given

12xy + 20x - 9 - 11xy - 3x + 15

Put like terms together

=12xy - 11xy + 20x - 3x + 15 - 9

Combine like terms through addition/subtraction

=xy + 17x + 6

Hope this helps!! :)

Please let me know if you have any questions

Plz solve the following with steps (people who just come by without answering the question and taking the points may end up as ban)

Answers

Answer:

12)  3/5=534 students

13)  2151 kg

14)a)7.1 US$

   b)total=10.2 US$

Step-by-step explanation:

12)students who had lunch=2/5*890

                                            =356 students

 students who did not have lunch=5/5-2/5

                                                         =3/5*890

                                                        =534 students

14)a)4pens=180 cents

       2 books=5.3$

      total=7.1 US$

b)5 pens=225 cnets

   3 books=7.95 US$

  total=10.2 US$

 

10)ate=1 over 8

    remaining=8/8-1/8

                     =7/8

after six hours=7/8*2/5

                        =7 over 20

total ate=1/8+7/20

            =14+5 over 40

           =19 over 40

remaining=40 over 40 - 19 over 40

                =   21 over 40

to dog=21/40 *1/4

          =21 over 160

total=19 over 40 +21 over 160

        =152+21 over 160

         =173  over 160

Sorry I am stucked from here.

FIRST CORRECT ANSWER PROVIDING AN EXPLANATION WILL GET BRAINLIEST!!!
Solve the triangle. Round your answers to the nearest tenth.

A. m∠C=63, b=31, c=25.1
B. m∠C=63, b=27, c=26
C. m∠C=63, b=28.1, c=22
D. m∠C=63, b=28.1, c=25.1

Answers

9514 1404 393

Answer:

  D. m∠C=63, b=28.1, c=25.1

Step-by-step explanation:

The angle sum relation tells you ...

  C = 180° -23° -94° = 63°

The law of sines tells you ...

  b/sin(B) = a/sin(A)

  b = sin(B)·a/sin(A) = sin(94°)·11/sin(23°) ≈ 28.084 ≈ 28.1

Similarly, ...

  c = sin(C)·11/sin(23°) = sin(63°)·28.15235 ≈ 25.084 ≈ 25.1

__

  C = 63, b = 28.1, c = 25.1

what is the value of the 2 in 3,261? the 3? the 1?

Answers

Answer:

The 2 is 200

The 3 is 3000

The 1 is 1

And if needed

The 6 is 60

Step-by-step explanation:

2 is in hundredths place

3 is in thousand place

6 is in tens place

1 is in ones place

hope this helps

What is the area of the triangle?
umi
bosi
4
par
2
con
units

Answers

Answer:

A = 4 units ^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the length of the base and h is the height

A = 1/2 ( 4) (2)

A = 4 units ^2

Answer:

Answer : 4

Area of the triangle = 1/2 • b • h

2 × 2 = 4

.................

Fill in the statement with always,sometimes,or never to make it true

The quotient of a rational number and an irrational number is ____Rational


The difference between a irrational number and an irrational number is ___ irrational

Answers

Answer:

Fill in the statement with always,sometimes,or never to make it true

The quotient of a rational number and an irrational number is never Rational.

The difference between a irrational number and an irrational number is sometimes irrational.

~

WILL MARK BRAINIEST IF FAST!


Kane's Furniture Store advertised a table at a 11% discount. The original selling price was $111, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. No, the sale price was s higher than it should have been
(Round to the nearest cent.)
OB. No, the sale price was $ lower than it should have been
(Round to the nearest cent.)
OC. Yes, the sale price was consistent with the ad, because it represents a 11% discount.
va
Vi
(11)
More
Click to select and enter your answer(s) and then click Check Answer.
Help Me Solve This
View an Example
Get More Help
Clear All
Check


Answers

Answer:

A. No, the sale price was 1.21 higher than it should have been

Step-by-step explanation:

First find the discount

111 * 11%

111 * .11

12.21

Subtract this from 111

111-12.21

98.79

The sale price should have been 98.79

100-98.79

1.21

8. What's the sum of 38 and 1/16?
A. 4/24
B.1/6
c.7/16
D. 1/4.

Answers

Answer:

7/16

Step-by-step explanation:

38 + 1/16 = 38.0625

38.0625 = 7/16

pls pls help me with this triangle, i’ve been doing math for hours now and i just need help with this pls pls thank you

Answers

Answer:

Angle B=90 degrees

BA^C= 40 degrees

Step-by-step explanation:

Angle B=90 degrees (right angle =90 degrees)

90+50+BA^C=180

140+BA^C      =180

           BA^C=180-140

          BA^C= 40 degrees

   

1.2 for each of the following 14 functions list the parent function variety parent equation and describe the transformation

Answers

I agree with your answers to Q4, 5 and 8

Q6 is like Q4, a vertical translation up 2 units

Q7 is like Q8, a horizontal translation right 1 unit

Q9 could be a vertical translation of 0 units

brenda bought 8 cupcakes at $1.59 each and 5 pies at $5.99 each . how much more did he spend on pie's than cupcakes

Answers

Answer:

17.23

Step-by-step explanation:

Find the cost of the cupcakes

8* 1.59= 12.72

Find the cost of the pies

5*5.99 =29.95

Subtract the cost of the cupcakes from the pies

29.95-12.72=17.23

Answer:

Money spent more on pies than cupcakes = $17.23

Step-by-step explanation:

1 cupcake = $ 1.59

8 cupcakes = 8 * $ 1.59

8 cupcakes = $12.72

1 pie = $5.99

5 pies = 5 * $5.99

5 pies = $29.95

Money spent more on pies than cupcakes = Pies - Cupcakes

Money spent more on pies than cupcakes = $29.95 - $12.72

Money spent more on pies than cupcakes = $17.23

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

what is sixteen minus two point two?

Answers

Answer:

13.8

Step-by-step explanation:

16

- 2.2

Answer:

13.8

Step-by-step explanation:

16 - 2.2 is the question.

WE can split this problem up into 2.

16 - 2 and 1 - 0.2.

16 -2 = 14

1 - 0.2 = 0.8

14 - 1 = 13 ( we subtract by 1 because we added one to 16.)

13 + 0.8 = 13.8

PLEASE MARK ME BRAINLIEST!

--------------------------------------------------------------------------------------------

(or the other way)

16 - 2.2

16 - 2 = 14

14 - 0.2 = 13.8

Write four and five hundred eighty-six thousandths as a decimal number.
I AM DESPERate
helpp

Answers

Answer:

4.00586

Step-by-step explanation:

yup. so ya.... 20 character reached I hope

Plzzz helppppp!!!!!!!! 20+PTS and brainliest!!!!!!!! Plzzzz show how you got the answer!!!!!!!

Answers

Answer:

1) (f+g ) x = (x²-4)+ (x+2) = x²+ x –2

2) (f - g ) x = (x²-4) – (x+2) = (x²-4)+ ( -x - 2) = x²–x–6

3) (f × g ) x = (x²-4)(x+2) = x³+2x²– 4x – 8

4) (f / g) x = (x²-4) / (x+2) = x – 2

5) ( f + g ) 4 = (x²-4)+ (x+2) = ((4²)-4)+ (4+2) = ( 16–4) + (6) = 12+6 = 18

I hope I helped you^_^

State the gradient of the line parallel to 3y = 5x – 1.

Answers

Answer:

Step-by-step explanation:

3y = 5x -1

y = (5/3)x - ⅓

Slope of line is 5/3.

Slope of any parallel to the line is also 5/3.

X=7w^2+4w-6
Y=w^2-11w+13
X+Y=

Answers

Answer:

X+Y= 8w²–7w +7

Step-by-step explanation:

X+Y= ( 7w²+4w-6 ) + (w²-11w+13)

X+Y= 8w²–7w +7

I hope I helped you^_^

Answer:

8w^2 - 7w + 7

Step-by-step explanation:

x = 7w^2 + 4w - 6

y = w^2 - 11w + 13

x + y =

7w^2 + 4w - 6 + w^2 - 11w + 13 =

8w^2 - 7w + 7

Devon is 2 times Sydney's age and sum of their ages =75

Answers

Answer:

Devon is 50 and Sydney is 25

Step-by-step explanation:

We know that d + s = 75 and that Devon is two times Sydney's age. This can be represented by 2s + s = 75 (keep in mind that 2s = d). Simplify the equation.

3s = 75

s = 25

Now we can substitute this in the original equation.

d + 25 = 75

d = 50

Best of Luck~

Answer: Sydney=25 Devon=50

Step-by-step explanation:

Sydney's age is represented by x and since Devon is 2 times older (his/her) age would be represented as 2x. So added together would be 3x. So 3x=75. 75/3=25. So x=25 meaning that Sydney is 25 and Devons age is 50 as 25x2=50.

How would I write three times a number plus 5 times a number +4 is 196 as an equation

Answers

Answer:

[tex]number = x \\ then \: 3x + 5x + 4 = 196 \\ = 8x + 4 = 196 \\ 8x = 192 \\ x = \frac{192}{8} \\ x = 24 \\ thank \: you[/tex]

Find the area of the shape shown below


Answers

Answer:

Here's your answer: 6 units²

Yousef deposits $425.00 in a savings account that earns a simple interest rate of 3.5% annually. How much interest does Yousef earn after three months? (4 points)
$3.72
$8.92
$8.93

Answers

9514 1404 393

Answer:

  (a)  $3.72

Step-by-step explanation:

The interest is found using the formula ...

  I = Prt

where P is the principal invested at rate r for t years. 3 months is 1/4 year, so the interest is ...

  I = $425×0.035×1/4 ≈ $3.72

Yousef earns $3.72 after 3 months.

What will be the resultant sogn if we mutilply 15 negative integers and 6 positive integers

Answers

Answer:

Negative.

Step-by-step explanation:

Negative because there are an odd number of negatives.

For Example:

3 negatives:

- * - * -

= + * -

=  -

-(7-4x)=9
can somebody help me with this, and if you could, can you show work?​

Answers

Answer:

x=4

Step-by-step explanation:

Simplifying

-1(7 + -4x) = 9

(7 * -1 + -4x * -1) = 9

(-7 + 4x) = 9

Solving

-7 + 4x = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 4x = 9 + 7

Combine like terms: -7 + 7 = 0

0 + 4x = 9 + 7

4x = 9 + 7

Combine like terms: 9 + 7 = 16

4x = 16

Divide each side by '4'.

x = 4

Answer:

x = 4

Step-by-step explanation:

-(7 - 4x) = 9             (Given)

-7 + 4x = 9              (Distributed)

-7 + 4x + 7 = 9 + 7  (Add 7 on both sides)

4x = 16                    (Simplify)

4x/4 = 16/4             (Divide 4 on both sides)

x = 4                       (Simplify)

Select the correct answer.
Solve the quadratic equation given below.

Answers

Answer:

x = –2/3 or –20/9

Step-by-step explanation:

(9x+13)² = 49

Finding the square root of both sides

9x+13 = √49

9x+13 = ±7

Subtracting 13 from both sides

9x = 7 – 13 or 9x = -7 –13

9x = –6 or 9x = –20

Divide both sides by 9

x = –6/9 or x = –20/9

Simplifying

x = – 2/3 or x = –20/9

Help find the x I’m struggling and I need help what is X?

Answers

5x - 5 should be equal to 2x + 10, because of the property of Vertically opposite angles.

Vertically Opposite Angles or VOA says that 2 angles that are vertically opposite are the same.

So,

5x - 5 = 2x + 10

5x - 2x = 10 + 5

3x = 15

x = 15 / 3

x = 5.

Hope you understood it. If you have any doubts plz let me know.

Kim and Tom both cycle to work from their
homes, at the same speed. Kim lives 20 km
away from work, and Tom lives only 15 km
away from work. It takes Kim 1 hour more to
cycle to work than Tom. Determine how long
Tom takes to get to work.

Answers

Answer:

3 hours

Step-by-step explanation:

You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.

Time taken by Tom to get office is 3 hour

Given information:

Distance of office from Kim house = 20 km

Distance of office from Tom house = 15 km

Kim take 1 hour more

Find;

Time taken by Tom to get office

Computation:

Assume;

Time taken by Tom = a hour

So,

Time taken by Kim = (a + 1) hour

[tex]Speed = \frac{Distance}{Time}[/tex]

So,

[tex]\frac{20}{(a + 1)}=\frac{15}{a} \\\\20a = 15a + 15\\\\20a - 15a = 15\\\\5a = 15\\\\a = 3[/tex]

So,

Time taken by Tom = 3 hour

Learn more:

https://brainly.com/question/22610586?referrer=searchResults

SOMEONE HELP ME I MAKE H BRAINLIST

Answers

Answer:

0.33 is greater because you can see the box properly and you should be knowledgable

What is the equation of the line that passes through the point (-5,-7)(−5,−7) and has a slope of \frac{2}{5} 5 2 ​ ?

Answers

Answer:

y-y1=slope (x-x1)

where x1=-5, y1=-7 and the slope=2÷5

we substitute for x and y

y-(-7)=2÷5{x-(-5)}

y+7=2÷5(x+5)

y+7=(2x+10)÷5 cross multiply

5y+35=2x+10 collect like terms

5y=2x+10-35

5y=2x-25 ......ans

11/12x = -11 pls help

Answers

Answer:

=

1

2

Step-by-step explanation:

1

1

1

2

=

1

1

\frac{11x}{12}=-11

1211x​=−11

1

2

1

1

1

2

=

1

2

(

1

1

)

Which statement about 6x^2+7x-10 is true?
One of the factors is (x+ 2)
One of the factors is (3x-2)
One of the factors is (2x+5)
One of the factors is (x-5)

Answers

Answer:

One of the factors is (x+ 2)

Step-by-step explanation:

[tex]6 {x}^{2} + 7x - 10 \\ = (6x - 5)(x + 2)[/tex]

another factor is (6x - 5)

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