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Contact [7]
2 years ago
12

The inverse of f(x)= x2 is also a function

Mathematics
2 answers:
Alexxandr [17]2 years ago
6 0
<h2>Hello!</h2>

The answer is: False, the inverse of f(x)=x^{2} is not a function.

<h2>Why?</h2>

It's known that most of functions don't have an inverse function. Inverse function is known for being the result of inverting a one to one function, it means that for each y should be only one x. If the function is not a one to one function, it doesn't have an inverse that is a function

The given function is not a one to one function, let's prove it:

Let's evaluate two differentes values: 5 and -5

Evaluating 5

f(5)=5^{2}=25

Evaluating -5

f(-5)=(-5)^{2}=25

We have the same output for differents x values, so, the function is not a one to one function, meaning that its inverse is not a function.

Have a nice day!

Margaret [11]2 years ago
3 0
<h2>Answer:</h2><h3>False</h3><h2>Step-by-step explanation:</h2>

The inverse is not a function because this function is not one-to-one, that is, a function f has an inverse function if and only if there is no any horizontal  line that intersects the graph of f at more than one point, this is called the Horizontal Line Test for Inverse Functions. Thus, if you take an horizontal line it will pass through two points as indicated in the figure below. In conclusion, this function hasn't an inverse function.

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In 1992, the countries Chad and Denmark each had population of about 5.2 million. However,
irinina [24]

9514 1404 393

Answer:

  5,339,479

Step-by-step explanation:

The populations in millions of the different countries can be represented by the equations ...

  c = 5.2(1.025^t)

  d = 5.2(1.001^t)

We want to find d when c = 10. Solving for t when c=10, we have ...

  10 = 5.2(1.025^t)

  10/5.2 = 1.025^t

  log(10/5.2) = t×log(1.025)

  t = log(10/5.2)/log(1.025)

Then the value of d for that value of t is ...

  d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789

The population of Denmark is about 5,339,479 when the population of Chad is 10 million.

_____

If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.

3 0
2 years ago
Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
olasank [31]

Answer:

x = 15 \:  \:  .....(5(15)- 14) = 61

(9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x =  \frac{60}{4}  \\ x = 15

6 0
2 years ago
HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSED (it’s the Jessica one btw)
Aleksandr-060686 [28]
Answer: $2.25
Explanation: First, subtract 11.50 - 4.75 = 6.75
Then 6.75 / 3 = 2.25
8 0
2 years ago
Which graphs have rotational symmetry? Check all that apply
Triss [41]

Answer:

Option A and C have rotational symmetry.

Step-by-step explanation:

The graph of odd functions have rotational symmetry about its origin.

Here the first graph is a graph of f(x)=f(x)=x^3 which is an odd function bearing an exponent of 3.

A function is "odd"  when we plug in any negative value in f(x) then it gives negative of f(x).

And we also know that when a graph is mirroring about the y-axis then it is an even functions.

For even functions we have reflection symmetry rather than rotational symmetry.

The second graph is a graph of f(x)=-modulus (x) which is an even function as we can see that its graph is mirroring about the y-axis.

The third graph is a graph of an ellipse which is possessing  rotational symmetry.

The order of symmetry of an ellipse is generally 2.

Order of symmetry:

The order of rotational symmetry of an object is how many times that object is rotated and fits on to itself during a full rotation of 360 degrees.

So graph A and C have rotational symmetry.

4 0
3 years ago
Read 2 more answers
CAN SOMEONE HELP MEEEE OUTTT!!!
poizon [28]

Step-by-step explanation:

the answer is sqrt(7)

using pythagoras theorem

4 0
2 years ago
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