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draw them both out on a graph and then draw the line y=x through the origin. If one function is a reflection of the other, it is the inverse
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Does the greatest integer function have an inverse function?
Inverse of a function exists only if it is a Bijection. Bijection=Injection(one to one)+surjection (onto) function.
What does inverse property in multiplication mean?
Some one please tell me what inverse property is!!
Operations that undo one another?
inverse operations
Is an inverse of a linear equation always a function?
NO!!! As a matter of fact, unless the function is a one-to-one function, where each x in the domain has one and only one image in the range and no y in the range is the image of more than one x, then it won't ever be a function after being inversed. Just remember to switch the x's and y's with each other and then solve for y to get the inverse. If you don't believe me, then use then graph the function and then its inverse and do the vertical line test on both.
Operations that undo one another are called?
Inverse operations.
What does the horizontal line tell you about a function?
If the function is a one-to-one function, therefore it has an inverse.
Does the greatest integer function have an inverse function?
Inverse of a function exists only if it is a Bijection. Bijection=Injection(one to one)+surjection (onto) function.
How do you illustrate an inverse function?
Given a function, one can "switch" the variables x and y and then solve for y afterwards to determine the inverse function.
Is the invertible to be one to one function?
Yes, a function needs to be one-to-one in order to have an inverse.
What is the additive inverse of 1 half?
Since subtraction is the inverse function of addition, the additive inverse of one half is minus one half.
Can an invertible function have more than one x-intercept?
No. If the function has more than one x-intercept then there are more than one values of x for which y = 0. This means that, for the inverse function, y = 0 should be mapped onto more than one x values. That is, the inverse function would be many-to-one. But a function cannot be many-to-one. So the "inverse" is not a function. And tat means the original function is not invertible.
What is the inverse of the function f of x equals x to the power of one over x?
The inverse is not a function because it fails the vertical line test.
What does inverse property in multiplication mean?
Some one please tell me what inverse property is!!
Is the inverse of the function y x2 still a function?
Y = 1/X2 ==============Can it pass the line test? * * * * * That is not the inverse, but the reciprocal. Not the same thing! The inverse is y = sqrt(x). Onless the range is resticted, the mapping is one-to-many and so not a function.
What is the difference between a reciprocal function and an inverse function?
A reciprocal function will flip the original function (reciprocal of 3/5 is 5/3). An inverse function will change the x's and y's of the original function (the inverse of x<4,y>8 is y<4, x>8). Whenever a function is reflected over the line y=x, the result is the inverse of that function. The y=x line starts at the origin (0,0) and has a positive slope of one. All an inverse does is flip the domain and range.
Differentiate inverse function from logarithmic function?
The inverse of the natural log function lnx is exA function must be one to one to have an inverse and the log function is.I am not sure if that is what you are asking.The derivative of ex is itself.That is to say if f(x)=ex then f'(x)=exIf you are asking about the derivative of lnx, it is 1/xand if you look at logb x=1/(xlnb)Not sure which one you are looking for.
Operations that undo one another?
inverse operations
