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
SSSSS [86.1K]
2 years ago
10

Finding the inverse of the function x^3+3x+1 is beyond the scope of this course. Nevertheless, you should be able to use your kn

owledge of functions and their inverses as well as your graphing calculator to find the following values of the inverse function.
a. f^-1(1)

b. f^-1(5)

c. f^-1(3)
Mathematics
1 answer:
slega [8]2 years ago
4 0

Step-by-step explanation:

{x}^{3}  + 3x + 1 = 1 =  =  =  >  \\  {x}^{3} + 3x = 0 =  =  =  >  \\  x({x}^{2}  + 3) = 0 \\ x = 0 \: or \\  {x}^{2}  + 3 = 0 =  =  =  >  \\  {x}^{2}  =  - 3 =  =  =  > x 1=   \sqrt{ - 3} \: or \: i \sqrt{3}   \\ x2 =  -  \sqrt{ - 3}  =  =  =  > x2 = -  i \sqrt{3}

{x}^{3}  + 3x + 1 = 5 =  =  =  >  \\  {x}^{3} + 3x - 4 =  =  =  > \\  (x - 1)( {x}^{2}   + x + 4) = 0 =  =  =  >  \\ x - 1 = 0 =  =  > x1 = 1 \\  {x}^{2}  + x + 4 = 0 =  =  =  >  \\ x2 =  - 1 + i \sqrt{3}   \\  x3 =  - 1 - i \sqrt{3}

{x}^{3}  + 3x + 1 = 3 =  =  =  >  \\{ x}^{3}  + 3x - 2 = 0 =  =  =  > x = 0.6

You might be interested in
45 POINTS PLEASE HELP
lutik1710 [3]

Hello,

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350.

Which of the following could be combinations of values for the plumber's work hours and total work fee she charges?

Solution:

Find similar ratios to 5/350

Similar Ratios,

1/70

2/140

3/210

3.5/245

4/280

6/420

7.25/507.50

Answers:

B) 3.5 hours and $245

C) 6 hours and $420

D) 7.25 hours and $507.50

5 0
3 years ago
Read 2 more answers
Fill in the y values of the t-table for the function<br> y=3√x.
Lorico [155]

The table of values of the function y = ∛x is

x      y

-8    -2

-1      -1

0      0

1       1

8     2

<h3>How to fill in the y values?</h3>

The function is given as:

y = ∛x

When x = -8, we have:

y = ∛-8 = -2

When x = -1, we have:

y = ∛-1 = -1

When x = 0, we have:

y = ∛0 = 0

When x = 1, we have:

y = ∛1 = 1

When x = 8, we have:

y = ∛8 = 8

So, the table of values is

x      y

-8    -2

-1      -1

0      0

1       1

8     2

Read more about cubic functions at:

brainly.com/question/20896994

#SPJ1

7 0
2 years ago
A university's freshman class has 6200 students. 4836 of those students are majoring
WINSTONCH [101]

According to the solving 78% of the freshman class are Economics majors.

<h3>What does a percentage mean?</h3>

percentage, a relative figure signifying hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

<h3>Why is it called percent?</h3>

The word "percent" comes from the Latin adverb per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Later, it was shortened to % with a final period.

<h3>According to the given data:</h3>

It is given that the total number of students in freshman class = 6200

Total number of students majoring in Economics = 4836

Here, we are asked to find the percentage of the freshman class who are majoring in Economics.

Percent of students majoring Economics =  (Number of students majoring/ Economics  Total number of students) x 100

= \frac{4836}{6200} x 100

= 78%

According to the solving 78% of the freshman class are Economics majors.

To know more about Percentage visit:

brainly.com/question/14979505

#SPJ9

4 0
1 year ago
Beneze recipe for granola bars close for 3 1/2 cups of oatmeal he only has 16 cup scoop how many scoops of oatmeal he need for t
LUCKY_DIMON [66]
16/3 1/2= 7/32. so you would measure 7/32 on the 16 cup scoop
7 0
3 years ago
Is tu parallel to vw? Explain.
Varvara68 [4.7K]

Answer: C

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • If x=8 and y=14. Find y when x=48​
    13·1 answer
  • Write 1700 g to nearest kg
    11·2 answers
  • Wayne bought blueberries. Do you to 3/8 of the blueberries to make blueberry bread, 1/6 of the blueberries to make pancakes, and
    8·1 answer
  • Which is a statistical question. How tall is the governor of our state?
    8·1 answer
  • Base your answer to the following question on the diagram shown and the given information
    15·1 answer
  • What is the equation of a line that is parallel to y=2/3x-7 and passes through (12,2)?
    6·2 answers
  • A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d
    9·1 answer
  • The segments shown below could form a triangle 6 5 12
    14·1 answer
  • Can someone help me with this?​
    11·1 answer
  • Plz plz plz plz help me plz it is due in 1 hour and no links plz​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!