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The inverse of a function can be found by switching the independent variable (typically the "x") and the dependent variable (typically the "y") and solving for the "new y". You can also create a t-chart for the original function, switch the x and the y, and graph the new relation.
You will note that a function and its inverse are symmetrical around the line "y = x".
Sometimes the inverse of a function is not actually a function; since it doesn't pass the "vertical line test"; in this case, you have to restrict the new function by "erasing" some of it to make it a function.
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What is the relationships between inverse functions?
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?
The original function's RANGE becomes the inverse function's domain.
What is the inverse of a cubic function?
The inverse of the cubic function is the cube root function.
If an inverse function undoes the work of the original function the original function's range becomes the inverse function's?
range TPate
Is an exponential function is the inverse of a logarithmic function?
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
How do you use inverse log on graphing calculator?
The inverse of a logarithmic function is an exponential function. So to find the "inverse" of the log function, you use the universal power key, unless you're finding the inverse of a natural log, then you use the e^x key.
What is the inverse of y equals x?
The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
What is the relationships between inverse functions?
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?
The original function's RANGE becomes the inverse function's domain.
What is the inverse function of -6?
-6 is a number, not a function and so there is not an inverse function.
What is the inverse of a cubic function?
The inverse of the cubic function is the cube root function.
How do you find inverse of cos in c language?
Check out the acos function.
Why is x squared a inverse function?
X squared is not an inverse function; it is a quadratic function.
What is the inverse function of add 6?
The inverse function means the opposite calculation. The inverse function of "add 6" would be "subtract 6".
If an inverse function undoes the work of the original function what does the original function's becomes the inverse function's domain?
Range
Does every function have an inverse that is a function?
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
