0
Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.
Add your answer:
Earn +20 pts
If an inverse function undoes the work of the original function what does the original function's becomes the inverse function's domain?
Range
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".
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.
The inverse of the cosine function?
The inverse of the cosine is the secant.
What is an inverse of a function?
The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.
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.
If an inverse function undoes the work of the original function what does the original function's becomes the inverse function's domain?
Range
If an inverse function undoes the work of the original function the original function's range becomes the inverse function's?
range TPate
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.
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.
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".
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.
The inverse of the cosine function?
The inverse of the cosine is the secant.
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.
