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
djverab [1.8K]
3 years ago
7

The inverse of f(x) is a function. true or false

Mathematics
2 answers:
e-lub [12.9K]3 years ago
6 0
<h2>Answer:</h2>

The statement: The inverse of f(x) is a function is:

                         True Statement.

<h2>Step-by-step explanation:</h2>

The necessary condition that guarantees that a inverse of a function is again a function is:

<em> " The function must be a one-to one function "</em>

Otherwise the inverse may not be a function.

From the given graph of the function we see that the function is a one-to-one function as it passes the horizontal line test i.e. any line passing through the co-domain and parallel to x-axis should intersect the graph atmost once.

      Yes, the inverse of the given function F(x) is again a function.

Svetradugi [14.3K]3 years ago
3 0

Answer:

The answer is True.

Step-by-step explanation:

Since there is only one y for every value  of x and only one x for every value of y, both this graph and it's inverse would both be functions.

You might be interested in
I Need Help Quickly Please And Thank You
forsale [732]
Step 2: it should be P-2x, not +.

Hope this helped :)
7 0
1 year ago
Read 2 more answers
1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
frosja888 [35]

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. m = -\frac{23350}{13}

c. y = -\frac{23350}{13}x + 23350

Step-by-step explanation:

Given

Years = 13

Total\ depreciation = \$23350

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

m = \frac{23350}{13}

Because it is depreciation, it means the slope represents a deduction.

So,

m = -\frac{23350}{13}

Solving (c): The straight line equation

The general format of an equation is:

y = mx + b

Where

m = slope

b = y\ intercept

In (a), we have that:

y\ intercept = 23350

In (b), we have that:

Slope\ (m) = -\frac{23350}{13}

Substitute these values in y = mx + b

y = -\frac{23350}{13}x + 23350

<em>Hence, the depreciation equation is: </em>y = -\frac{23350}{13}x + 23350<em></em>

8 0
3 years ago
16 + 2q = 6 what’s this?
nika2105 [10]

Answer:

6 - 16 = -10

-10/2 = -5

q = -5

4 0
2 years ago
Hiiii.. please help me with this limit question ​
Alenkasestr [34]

Answer:

π

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

π

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0.  So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0.  So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

π

8 0
3 years ago
Convert 1.4x10^-8 to standard notation/long form​
andriy [413]

Answer:

0.000000014

Step-by-step explanation:

1.4 × 10^{-8} = \frac{1.4}{10^8 = 100000000} = 0.000000014

6 0
3 years ago
Other questions:
  • One of the factors x^2+3x-10
    12·1 answer
  • 6.) Polygons that do<br> not have all sides<br> equal and/or all<br> angles equal
    14·2 answers
  • One half a number increased by three is greater than zero or less than or equal to negative three
    7·2 answers
  • I need help preciate it
    13·1 answer
  • A man has 108 ft. of fencing to put around a rectangular garden. If the length is 5 times the width, find the dimensions of his
    15·1 answer
  • Need help with a,b,c! D: helpzzz
    13·1 answer
  • We invest $3500 in an account that pays simple interest of 4% each year. How much interest is earned after 10 years?
    14·1 answer
  • The seventh multiple of 9 is<br>​
    5·1 answer
  • Which of the following measurements are greater than 130 fluid ounces? Select all that apply. (Multiple choice)
    5·2 answers
  • Which of the following shows the correct order of the numbers?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!