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noname [10]
3 years ago
11

Which function is the inverse of f(x) = 2x+3?

Mathematics
2 answers:
Strike441 [17]3 years ago
4 0

Answer:

The inverse is 1/2x -3/2

Step-by-step explanation:

Set the equation equal to y

y = 2x+3

Exchange x and y

x = 2y+3

Solve for y

Subtract 3 from each side

x-3 = 2y+3-3

x-3 = 2y

Divide each side by 2

(x-3)/2 = 2y/2

1/2x -3/2 =y

The inverse is 1/2x -3/2

Ksivusya [100]3 years ago
4 0

Answer:

f^{-1}(x)=1/2x-3/2 (the second choice)

Step-by-step explanation:

f(x) = 2x+3

y=  2x+3

interchange the x and y

x= 2y+3

solve for y

x-3=2y

x/2 -3/2 =y

\frac{1}{2} x-\frac{3}{2}

hope this helps!

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hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.
neonofarm [45]

Answer:

8 / sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan A = BC / AC

tan 30 = BC / 8

8 tan 30 = BC

8 * sqrt(3)/3 = BC

8/3 sqrt(3) = BC

7 0
3 years ago
Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly. They get 27 cm, 35 cm, 32 cm, respect
Vera_Pavlovna [14]

Answer:

47 cm.

Step-by-step explanation:

Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.

They get  27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm

find:

Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?

<u>solution:</u>

27, 35, and 32 are each the sum of a different pair of sides of the triangle

Then 27 + 35 + 32 is the sum of all three sides, each counted twice.

Thus, 27 + 35 + 32 = 94 is twice  the perimeter

therefore,

the perimeter of the triangle is 94/2 = 47 cm.

6 0
3 years ago
Read 2 more answers
the measurement of an angle is five times less than the measurement of its supplement what is the measurement of the angle a. 30
Levart [38]
Let the angle be y;
Then the supplement is 5y
y+5y=180
6y=180
y=30
The angle is 30 degrees
8 0
4 years ago
A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop
lesantik [10]

Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

  • n₁, n₂, n₃ ... is the number of arrangements for each object
  • n is the number of objects
  • nₓ is the number of arrangements for the last object

In this case

  • n₁ is the identical copies of Hamlet
  • n₂ is the identical copies of Macbeth
  • n₃ is the identical copies of Romeo and Juliet
  • nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

<em>                                                         = </em><em>12600 ways</em>

<em />

Thus, the number of distinct arrangements is <em>12600</em><em>.</em>

4 0
3 years ago
Does anyone know how to do this please help
ICE Princess25 [194]

Step-by-step explanation:

the photo should explain

3 0
2 years ago
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