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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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Earn +20 ptsQ: Is the inverse of a linear function not a function?
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Continue Learning about Other Math
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.
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