Question

Is it necessary to perform the horizontal line test when finding the inverse of every function?

Answer 1

Yes, the horizontal line test is important when finding the inverse of a function because without the intersection of the line, they would be no inverse.

Steps in finding inverse of a function

The steps include;

• Replace f(x)with y in the equation of the function

• Interchange x and y in the function

• Then solve for y

• Replace y with f-1(x) in the function

A property of horizontal line is that if it intersects the graph of a function more that on way, then 'f' does not have an inverse.

If no horizontal line intersects the graph , 'then f' does have an inverse.

Thus, the horizontal line test is important when finding the inverse of a function because without the intersection of the line, they would be no inverse.

Learn more about horizontal line test here:

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