1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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!

You might be interested in
Can you guys help me please!!
ella [17]

\huge \red{\underline{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }}

\huge\bold\red{{Answer:}}

1.C

2.C

3.D

4.D

5.D

6.A

7.C

8.B

9.A

10.C

11.A

12.B

13.D

14.C

\huge \red{\underline{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }}

7 0
3 years ago
Which is the graph of y–3= - 2/3 (x + 6)?
NikAS [45]

Answer:

2 over 3

Step-by-step explanation:

4 0
3 years ago
A rectangular prism has a width of 51 ft and a volume of 144 ft3. Find the volume of a similar prism with a width of 17 ft. Roun
meriva

Answer:

5.3\ ft^3

Step-by-step explanation:

Similar shapes with scale factor k have proportional volumes with coefficient k^3 i.e.

\dfrac{V_{large}}{V_{small}}=k^3,

where

k=\dfrac{\text{width of large prism}}{\text{width of small prism}}.

Since

\text{width of large prism}=51\ ft,\\ \\\text{width of small prism}=17\ ft,

then

k=\dfrac{51}{17}=3.

Hence,

\dfrac{144}{V_{small}}=3^3\Rightarrow V_{small}=\dfrac{144}{27}=\dfrac{16}{3}=5\dfrac{1}{3}\approx 5.3\ ft^3.

7 0
3 years ago
Help please I NEED TO PASS :(((((
adoni [48]

Answer:

The answer should be C

Step-by-step explanation:

I just got done calculating it and according to my calculations it should be C

5 0
3 years ago
The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap
svetlana [45]
The vertex is (-2, -9)
7 0
3 years ago
Read 2 more answers
Other questions:
  • A shopper seeking a bargain combined a 25% off coupon and brought enough money to cover 25% of the base price. Why did this shop
    6·1 answer
  • Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?
    8·2 answers
  • (3x − 4)(2x)2 + 2x − 1).
    8·1 answer
  • If (x - 5) is a factor of f(x), which of the following must be true?
    6·2 answers
  • -2(x-3) &gt;-8<br> What is the answer
    10·1 answer
  • Suzanne bought 50 apples at the apple orchard. She bought 4times as many as red apples than green apples. How many more red appl
    15·1 answer
  • All students are classified as either full-time or part-time. Kenneth conducted a survey in which he collected data on the perce
    11·1 answer
  • Solve for P:<br><br> 9(p−4)=−18<br><br> Please Explain
    10·1 answer
  • A new pair of jeans cost $124.97 in the sales tax rate is 9.3% you only have $140 to spend do you have enough money to purchase
    12·1 answer
  • What is the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120°?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!