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Vedmedyk [2.9K]
2 years ago
10

I don’t understand this

Mathematics
1 answer:
tatyana61 [14]2 years ago
8 0

9514 1404 393

Answer:

  f⁻¹(x) = √((3 -x)/3)

Step-by-step explanation:

A function gives you a y-value for each value of x.

  y = f(x)

__

An inverse function tells you the x value that produced a given y-value. It is the solution to the equation ...

  x = f(y)

So, we want to find y for ...

  x = -3y² +3

  x -3 = -3y² . . . . . . . . . . . subtract 3

  (x -3)/-3 = y² . . . . . . . . . divide by -3

  √((x -3)/-3) = y . . . . . . . take the square root.

The requirement for x > 0 in the original function means y > 0 for the inverse function. That is why we use the positive square root.

This can be simplified a little bit to remove the minus sign from the denominator.

  f⁻¹(x) = √((3 -x)/3)

__

The graph plots the function and its inverse. They are reflections of each other over the line y=x. (That's one way you can tell you have the correct inverse function.)

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Need help asap please​
cestrela7 [59]

Answer:

9:49 is the answer because question say ratio is square of small and big

6 0
2 years ago
X2 - 49 = 0 solve for x
Bogdan [553]

x^2 - 49 = 0

Add 49 to both sides:

x^2 = 49

Take the square root of both sides:

X = 7

8 0
2 years ago
!!!!!! URGENT PLS HELP ME ANSWER !!!!
laila [671]

Answer:

1) A = 547.1136, C = 82.896

2) A = 678.5226, C = 92.316

3) A = 844.5344, C = 102.992

4) A = 1554.49625, C = 139.73

5) A = 1561.4906, C = 140.044

6) A = 994.8776, C = 111.784

Step-by-step explanation:

1)

A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{26.4}{2})^2 = 3.14 * 13.2^2 = 547.1136

C = \Pi D = 3.14 * 26.4 = 82.896

2)

A = \Pi r^2 = 3.14*(14.7)^2 = 678.5226

C = 2\Pi r = 14.7*2 * 3.14 = 92.316

3)

A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{32.8}{2})^2 = 3.14 * 16.4^2 = 844.5344

C = \Pi D = 3.14 * 32.8 = 102.992

4)

A = \Pi (\frac{D}{2})^2 =  3.14 * (\frac{44.5}{2})^2 = 3.14 * 22.25^2 = 1554.49625

C = \Pi D = 44.5*3.14 = 139.73

5)

A = \Pi r^2 = 3.14*22.3^2 = 1561.4906

C = 2\Pi r = 2 * 3.14 * 22.3 = 140.044

6)

A = \Pi r^2 = 3.14 * 17.8^2 = 994.8776

C = 2\Pi r = 2 * 3.14 * 17.8 = 111.784

8 0
2 years ago
Solve the system of equations y = x + 5 and y = 5x - 11 using a graphical method.
tresset_1 [31]

You can use substitution for this.

x+5 = 5x -11

Combine like terms

16=4x

Divide 4 on both sides to isolate the x

x=4

Plug x=4 to one of the equations

y= 4 +5

Combine like terms

y=9

So the answer is A. (4,9)

I hope this helps you out a bunch hun :)

4 0
3 years ago
What is UT?<br> UV= 8<br> TV= 17<br><br> UT= ?
DerKrebs [107]
The correct answer is 15.
3 0
2 years ago
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