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3 years ago

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.

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Y = – 3

KonstantinChe [14]

The best approximation for the solution to this system of equations is (-2.2,-3)

Option C is correct.

Step-by-step explanation:

Solving the system of equations to get the exact value of x:

$y = -3\\y = x-0.8$

Let

$y = -3\,\,eq(1)\\y = x-0.8\,\,eq(2)$

Putting value of y from eq(1) into eq(2)

$-3=x-0.8$

$x=-3+0.8$

$x=-2.2$

So, Value of x is -2.2

The best approximation for the solution to this system of equations is:

x=-2.2 and y = -3

(-2.2,-3)

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

6 0

3 years ago

Read 2 more answers

The formula to find the perimeter of a rectangle is: P = 2W + 2L. To solve for " W " in this formula, which steps should be foll

netineya [11]

Since the 2L is not being multiplied or divided, and it's positive, we will subtract it from both sides. Since the W is being multiplied by the 2, we'll also need to divide both sides by 2.

Your answer is B.
<em>
</em><em>Don't forget to rate this answer the Brainliest!</em>

3 0

3 years ago

Read 2 more answers

Whats the answer to 8.54 to the nearest tenth

stiks02 [169]

Heres a trick i learned look at the digit your rounding look to your right is it 5 or higher? yeas add 1 more to the one you are rounding if not then you drop the numbers after the one you are rounding so 8.54 is now just 8.5

5 0

3 years ago

The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 90 inches comma and a standard

Debora [2.8K]

Step-by-step answer:

standard deviation (sigma) = 12 inches

mean (mu) = 90 inches.

For 36 years, the standard error of the mean is

e = sigma / sqrt(n) = 12" / sqrt(36) = 2".

Deviation from the mean

= 92.8 -90 = 2.8

Since the standard error of the mean follows the normal distribution, we have

Z=(92.8-90)/2 = 1.4

Looking up the normal distribution tables, or check R, we find

P(Z>1.4) = 1-P(Z<1.4) = 1-0.9192433 = 0.08075666

Answer: P(snowfall>92.8) = 0.0808 (to four decimal places)

3 0

3 years ago

Given the following functions, find each of the values:

allsm [11]

The function is computed below based on the information. The answers will be:

1. -11

2. -1

<h3>How to compute the function?</h3>

f(x) = x²-11x+28

g(x) = x-4

(f+g)(-5) = (-5² - 11 × 5 + 28) + (-5 - 4)

= 25 - 55 + 28 - 9

= -11

(f-g)(5)

= = (5² - 11 × 5 + 28) + (5 - 4)

= 25 - 55 + 28 + 1

= -1

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

4 0

1 year ago