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Contact [7]
3 years ago
12

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

Mathematics
2 answers:
Alexxandr [17]3 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]3 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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Find the product.<br><br> (-3ab2)3<br><br> -27 a3b6<br> -9 a3b5<br> -23 a2b2<br> 27 ab
7nadin3 [17]

Answer:

a) -27 a³ b⁶

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given ( -3 ab² )³

By using  (ab )ⁿ = aⁿ bⁿ      

   ( -3 ab² )³ = (-3)³ a³ (b²)³

Again , using formula   (a^{m} )^{n} = a^{mn}

                    =   -27 a³ b⁶

6 0
3 years ago
Which point below is not on the graph of p(x) = +36- X?
natka813 [3]

Answer:

We have the following equation: y = 36 - x. And we need to find which of the following points belong to the graph:

  • (-13,7)
  • (-35, 1)
  • (11,5)
  • (27,3)

If any of the points belong to the equation, then the equality will be met.

Then:

  • (-13,7) :

7 = 36 - (-13)

7 = 36 + 13

7 = 49 ❌

  • (-35, 1) :

1 = 36 - (-35)

1 = 71❌

  • (11, 5) :

5 = 36 - 11

5 = 25 ❌

  • (27,3)

3 = 36 - 27

3 = 9 ❌

None of the points belong to the graph. Therefore, all points are NOT on the grah of p(x) = 36 - x.

3 0
3 years ago
I think it’s A but again i’m not sure.
Gnoma [55]
M∠BDC=half the arc it faces=1/2 of 54=27
BD is the diameter, so m∠C=90
m∠DBC=180-90-27=63
6 0
3 years ago
Write a decimal that is 1/10 of 0.9
Mkey [24]

The <em>correct answer</em> is:

0.09

Explanation:

First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.

The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:

1/10(9/10)

To multiply fractions, multiply the numerators and multiply the denominators:

1/10(9/10) = (1*9)/(10*10) = 9/100

Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.

6 0
3 years ago
Read 2 more answers
14 is no less than 8 times a number x plus 6.
dybincka [34]

Answer:

14 (insert less than or equal symbol)8x+6

Hope this helps! i hope the symbol is right!

6 0
3 years ago
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