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The inverse of a linear function is always a linear function. There are a few ways to approach this.
To think about it, you can imagine flipping the x and y axes. Essentially this equates to turning the graph of the linear function on its side to reveal the new inverse function which is still a straight line.
More rigorously, the linear function y = ax + b has the inverse equation x = (1/a)y - (b/a). This is a linear function in y.
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What linear functions are non inverse function?
x = constant.
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.
Why is x squared a inverse function?
X squared is not an inverse function; it is a quadratic function.
Why rectangular matrix have no inverse in linear algebra?
Inverse matrices are defined only for square matrices.
What linear functions are non inverse function?
x = constant.
When is the inverse of a itself a function?
Since the inverse of a function is it's reflection over the line x=y, which has a slope of 1. The only way a function can be It'a own inverse is if it is a liner function whose slope is perpendicular to the line. Since a perpendicular line is any line with the negative recoprocal of the slope, any linear function whose slope is -1 will be it's own inverse. - stefanie math 7-12 teacher
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.
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.
If an inverse function undoes the work of the original function the original function's range becomes the inverse function's?
range TPate
