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Liula [17]
3 years ago
5

the domain of a function f(x) is x > 1, and the range is y < -2. What are the domain and range of its inverse function, f^

-1(x)?
Mathematics
1 answer:
Marianna [84]3 years ago
8 0

9514 1404 393

Answer:

  • domain: x < -2
  • range: y > 1

Step-by-step explanation:

Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.

__

The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.

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Solve the equation for x.
liq [111]

Answer:

x=55

Step-by-step explanation:

The given equation is \sqrt{x-6}+3=10

Group similar terms to get:

\sqrt{x-6}=10-3

\sqrt{x-6}=7

Square both sides to obtain:

x-6=7^2

x-6=49

Add 6 to both sides

x=49+6

Simplify the right hand side to obtain;

x=55

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Answer:

V = - 3

Step-by-step explanation:

- 1 =  \frac{1}{3} v \\  \\  - 1 \times 3 = v \\  \\ v =  - 3

Your answer is absolutely correct.

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seventy percent of the students applying to a university are accepted. using the binomial probability function, what is the prob
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Check the attached file for the solution.

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3 years ago
Use the diagram to find the following bearings.
Ad libitum [116K]

9514 1404 393

Answer:

  (a) 15°

  (b) 256°

  (c) 133°

  (d) 313°

Step-by-step explanation:

We assume your bearings are to be reported as an angle measured clockwise from north.

A) The given angle is the bearing: 15°.

__

B) The bearing can be found by subtracting this angle from 450°:

  450° -194° = 256°

__

C) The bearing can be found by adding 90° to the angle shown:

  43° +90° = 133°

__

D) The reverse bearing can be found by adding 180°:

  133° +180° = 313°

_____

<em>Additional comment</em>

Angles in Cartesian coordinates are conventionally measured counterclockwise from the +x axis. In that sense, the angle of C could be considered to be -43°.

Bearing angles are reported different ways. One of them is as an angle in the range 0–360°, measured clockwise from north (up, or +y axis). As such, it can be found by subtracting the conventional Cartesian angle from 90°.

When the Cartesian angle is more than 90°, 360° must be added to the difference to bring it back into the desired 0–360° range. Essentially, angles greater than 90° must be subtracted from 90° +360° = 450°.

Reverse bearings are found by adding or subtracting 180°.

__

An alternate convention for reporting bearings is as an angle in the range 0–90° east or west from north or south. In this convention, A = N15E, B=S76W, and C=S47E.

Occasionally, you will see the angles B and C reported from east or west: B=W14S; C=E43S. This keeps the angles in the 0–45° range. This is NOT a recommended way to report bearings.

Reverse bearings are found by swapping N/S and E/W. That is, the bearing from A to O is S15W, for example.

5 0
2 years ago
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