The inverse of f(x)= x2 is also a function
2 answers:
<h2>Hello!</h2>
The answer is: False, the inverse of is not a function.
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
Evaluating -5
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!
<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 has an inverse function if and only if there is no any horizontal line that intersects the graph of
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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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)= which is an odd function bearing an exponent of 3.
A function is "odd" when we plug in any negative value in then it gives negative of
.
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 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.