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
yanalaym [24]
3 years ago
10

What is the inverse of the function? f(x) = 1/3x-5

Mathematics
1 answer:
OlgaM077 [116]3 years ago
5 0

Answer:

        -1

       f   (x) = -3(x + 5)

Step-by-step explanation:

1)  in f(x) = 1/3x-5, replace f(x)= with y= as follows:  y = (1/3)x - 5

2) interchange x and y, obtaining:  x = (1/3)y - 5

3) solve this result for y:  (1/3)y = -x - 5, or -(x + 5).  Next, multiply both sides by                        3 to eliminate the fraction (1/3):  y = -3(x + 5)

4)  replace y with the symbol for "inverse of f(x);

        -1

       f   (x) = -3(x + 5)

You might be interested in
Simplified version of -12x + 3y = -3?
damaskus [11]
20 I think!


Look it up just to be sure
4 0
3 years ago
Read 2 more answers
A triangular prism and two nets are shown:
leonid [27]
The net for a triangular prism consists of 
2 identical triangles, here all nets have sides 5,12, and 13.
3 rectangles, all with a common dimension: the height H=14 of the prism.

Each of the 3 rectangles should have dimensions
H=14 plus one of the following:
each of 5, 12, 13 corresponding to one side of the base (triangle).

So the dimensions of the rectangles are
5x14, 12x14, 13x14

And dimensions of the triangles are
5,12 and 13.

The total surface area is therefore
(5+12+13)*14 + 2*(5*12/2)
=420+60
=480.

There is only one net that satisfies this condition.

8 0
3 years ago
The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport. Soccer Sophomo
Olegator [25]
The answer should be roughly 35.4%. 

You can obtain this answer by looking at the percentage of each subgrouping. For instance, 33% of the class in juniors and 45% of them list soccer as their favorites. Thus showing that 14.85% of the entire school is made up of juniors that enjoy soccer. 

If you do the totaling for all soccer lovers, you get a total of 41.95% of the school. By dividing the two numbers you get the answer above. 
4 0
2 years ago
A poster is 6 feet tall and 4 feet wide. What is its area?
Viefleur [7K]

Answer:

24

Step-by-step explanation:

A=LxW

6x4=24

7 0
3 years ago
Read 2 more answers
What is the product in simplest form x^2+9x+18/x+2 times x^2-3x-10/x^2+2x-24
german
\dfrac{x^2+9x+18}{x+2}\cdot\dfrac{x^2-3x-10}{x^2+2x-24}=\dfrac{x^2+6x+3x+18}{x+2}\cdot\dfrac{x^2-5x+2x-10}{x^2+6x-4x-24}\\\\=\dfrac{x(x+6)+3(x+6)}{x+2}\cdot\dfrac{x(x-5)+2(x-5)}{x(x+6)-4(x+6)}

=\dfrac{(x+6)(x+3)}{x+2}\cdot\dfrac{(x-5)(x+2)}{(x+6)(x-4)}=\dfrac{(x+3)(x-5)}{x-4}\\\\=\dfrac{x^2-5x+3x-15}{x-4}=\dfrac{x^2-2x-15}{x-4}
5 0
2 years ago
Read 2 more answers
Other questions:
  • What's 16.92 divided by 9.4?
    13·2 answers
  • Recall the Survivor: 21 Flags game from the page on backward induction. Assume that you are playingthe same game with the same r
    11·1 answer
  • Solve for x 2x+43+2x=5x+33
    14·1 answer
  • -5x=y+2<br> 2(2x-1)=3-3y<br> What is the solution (x, y) to the system of equations above?
    7·1 answer
  • (x+7)(x+9) <br>Do this math problem by using the Foil method.​
    12·2 answers
  • Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Clayton gets paid a
    13·2 answers
  • How to find 3 1/4 ÷ 5​
    11·1 answer
  • Right ΔABC has legs of lengths 4 ft and 7 ft. What is the length of the triangle’s hypotenuse?
    7·1 answer
  • One and three hundred twenty four thousandths in decimal form
    12·1 answer
  • icating any part of this book is prohibited by law. Solve. 18. EXPLAIN Farzana knows that the additive identity property states
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!