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.
x = constant.
No. The inverse of an exponential function is a logarithmic function.
-6 is a number, not a function and so there is not an inverse function.
X squared is not an inverse function; it is a quadratic function.
Inverse matrices are defined only for square matrices.
x = constant.
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
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.
No. The inverse of an exponential function is a logarithmic function.
The original function's RANGE becomes the inverse function's domain.
-6 is a number, not a function and so there is not an inverse function.
The inverse of the cubic function is the cube root function.
X squared is not an inverse function; it is a quadratic function.
The inverse function means the opposite calculation. The inverse function of "add 6" would be "subtract 6".
Range
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
range TPate