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kondaur [170]
3 years ago
15

Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain

your reasoning.
f(x) = |x|
g(x) = –x
Mathematics
2 answers:
valentina_108 [34]3 years ago
7 0

Answer:

She is not correct. She forgot to do g compose f. To verify that functions are inverses of each other, you must also show that g(f(x)) = x. Because  g(f(x)) = -x, the functions are not inverses of each other.

Step-by-step explanation:

sample response on edge2020

faust18 [17]3 years ago
4 0
For the answer to the question above asking, do you agree with Danika that she<span> concludes that the following functions are inverses of each other because f(g(x)) = x.?

</span>No because,
f(g(x) = |g(x)| = |-x| = |x| ≠ x
g(f(x)) = - |x| ≠ x
I hope my answer helped
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iragen [17]

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cylinder

Step-by-step explanation:

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3 years ago
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The height in inches (h) of a tomato plant growing in a garden is given by the equation h=2t+3, where t represents time in days.
Klio2033 [76]
<span>since h=2t+3 i.e. at h=13 we find 13= 2t+3
 i.e. 13-3= 2t
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similarly at h=27
we find 27= 2t+3
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5 0
4 years ago
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Jessie designed a sculpture that is shaped like a circle. The circumference of the sculpture is 10π meters. Which measurement is
BlackZzzverrR [31]

Answer:

25πm²

Step-by-step explanation:

Circumference of the circular sculpture = πd

d is the diameter

Given

Circumference = 10π metres

Substitute into the formula

10π = πd

10 = d

d = 10m

Area of the sculpture = πd²/4

area of the sculpture = π(10)²/4

area of the sculpture = 100π/4

area of the sculpture = 25π m²

Hence the measurement closest to the area of the sculpture in square meters is 25πm²

6 0
3 years ago
Which pair of statements describes the end behavior of the graph of the function f(x) = x3 + 2x2 − 5x − 6?
notka56 [123]

A function assigns the values. The correct option is D.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.


The complete question is:

Which pair of statements describe the end behavior of the graph of the function f(x) = x³ + 2x² − 5x − 6?

A.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity.

B.) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches negative infinity.

C.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches negative infinity.

D.) As x approaches negative infinity, f(x) approaches negative infinity. As x approaches infinity, f(x) approaches infinity.

If we draw the graph of the given function f(x) = x³ + 2x² − 5x − 6, then it can be observed that as x approaches -∞, f(x) approaches -∞. As x approaches ∞, f(x) approaches infinity.

Hence, the correct option is D.

Learn more about Function:

brainly.com/question/5245372

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3 0
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Ghella [55]

Answer:

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Step-by-step explanation:

10x1.19

3 0
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