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NO!!! As a matter of fact, unless the function is a one-to-one function, where each x in the domain has one and only one image in the range and no y in the range is the image of more than one x, then it won't ever be a function after being inversed. Just remember to switch the x's and y's with each other and then solve for y to get the inverse. If you don't believe me, then use then graph the function and then its inverse and do the vertical line test on both.

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Q: Is an inverse of a linear equation always a function?
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Related questions

Is the inverse of a linear function not a function?

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.


Are all linear equations functions Is there an instance when a linear equation is not a function?

Linear equations are always functions.


Is a linear equation the same as a function?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


What is the relation quadratic equation to linear equation?

The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).


Is linear function the same as linear equations?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


Do a linear equation and a function share the same definition?

No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.


What linear functions are non inverse function?

x = constant.


Is there an instance that a linear equation is not a function?

There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.


Why are linear equation named linear equation?

Y = 5X - 3It form a linear function; a line.


Is there instance in which a linear equation is not a function?

yes, a vertical line is linear, but it's not a function.


What best describes a linear function?

A linear function is a function, or equation, that when graphed, will form a straight line.


How do you do linear equations?

To solve linear equations, you always use the inverse operations