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
Studentka2010 [4]
3 years ago
9

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

Mathematics
2 answers:
creativ13 [48]3 years ago
4 0

Answer: The answer would be f^-1 (x) = x/2 - 3/2

Allisa [31]3 years ago
4 0

Answer:

y=\frac{x-3}{2}

Step-by-step explanation:

The given function is

f(x)=2x+3

To find the inverse of this function, we have to replace f(x) for y, and then isolate x, as follows

y=2x+3\\y-3=2x\\2x=y-3\\x=\frac{y-3}{2}

Then, we have to switch variables, as follows

y=\frac{x-3}{2}

Therefore, the inverse of the given function is

y=\frac{x-3}{2}

The graph attached shows both functions. The blue line is the inverse of f(x)

You might be interested in
6+0.4+0.009___6+0.07+0.009 which statement compares the two numbers correctly
VikaD [51]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

7 0
3 years ago
What is the equation of the parabola?
Morgarella [4.7K]

Step-by-step explanation:

Show Solution. Start by writing the equation of the parabola in standard form. The standard form that applies to the given equation is (x−h)2=4p(y−k) ( x − h ) 2 = 4 p ( y − k ) . Thus, the axis of symmetry is parallel to the y-axis.

4 0
2 years ago
QUICK QUESTION! PLEASE ANSWER FAST!
mr_godi [17]
A^2 + B^2 = C^2
7^2 + B^2 = 25^2
49 + B^2 = 625
-49 -49
B^2 = 576
Square root both sides
B = 24
4 0
3 years ago
Read 2 more answers
Please help and show work!
sp2606 [1]

Answer:

x=50

Step-by-step explanation:

Because these angles are vertical, they are equal. Let’s find x.

3x+12=162

3x=150

x=50

So, x=50.

8 0
3 years ago
Other questions:
  • Tanya tiene un jardin con un foso alrededor. El jaidim el un rectangulo de 2 1/2m de largo y 2m de ancho. El jardin y el foso ju
    15·1 answer
  • How do you answer this question.
    11·2 answers
  • Can Someone Help? Thanks!
    13·1 answer
  • Suppose that yours is a typical family. Your annual income is $60,000. Using the easy method, what should be your need for life
    7·1 answer
  • Strawberries cost $2 per pound. Kate buys 5 pounds and gets 20% discount on the total cost. How much does Kate pay for the straw
    5·2 answers
  • Determine the conclusion of the statement: an actor will be paid more if he wins an oscar
    15·1 answer
  • 8.4g of sugar is needed for every cake made. How much sugar is needed for 8 cakes?
    14·1 answer
  • What is the value of 16 • 2-2?
    5·1 answer
  • One quarter of a number is 3.what is 2/3 of that number?​
    11·1 answer
  • Ms. Thomas buys a new computer for $659. She plans to pay it off in 8 monthly payments. If she pays the same amount each month,
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!