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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 solution of 2/3x+1/4=-4/3
wolverine [178]
These questions can be daunting at first, but they're pretty simple to solve.

First, we need to establish a common denominator.  We have 2 / 3, 1 / 4, and
-4 / 3.  The least common denominator we can get is by multiplying 4 and 3 together to get 12.  So we will change the denominator as follows;

2 / 3, 1 / 4, -4 / 3  =  8 / 12, 3 / 12, -16 / 12

Now we can put these back into the equation.

8/12x + 3/12 = -16/12
8x + 3 = -16

It's simple math from here on out, but I'll show the process.  What we can basically do now is take away the denominator because it doesn't matter now that it's common.

Subtract 3 from both sides.  Now we have 8x = -19

Dividing by 8 on both sides of the equation will get you your answer.

x = -19/8


Hope this helps!
6 0
3 years ago
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Llana [10]
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3 0
3 years ago
Read 2 more answers
The sum of two binomials <br> Is
barxatty [35]

Is there a equation? Or do you just wanna know what the sum of two binomials equal?

8 0
3 years ago
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Iteru [2.4K]

Answer:

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Step-by-step explanation:

4 0
3 years ago
A photo of a beetle in a science book is increased to 535​% as large as the actual size. If the beetle is 14 ​millimeters, what
AnnZ [28]

Answer: 74.9 millimeters

Step-by-step explanation:

From the question, a photo of a beetle in a science book was.increased to 535​% as large as its actual size and the beetle.has a actual size of 14 ​millimeters,

The size of the beetle on the photo will be 535% of 14 millimeters. This will be:

= 535% of 14

= 535/100 × 14

= 5.35 × 14

= 74.9 millimeters

4 0
3 years ago
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