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Drupady [299]
3 years ago
8

Which of the following functions has an inverse that is not a function? y = x y = 2x + 1 y = x²

Mathematics
1 answer:
mamaluj [8]3 years ago
8 0

ANSWER

y =  {x}^{2}

EXPLANATION

For a function to be an invertible, it must be a one-to-one function.

In other words , it's graph should pass the horizontal line test.

It is obvious that,

y = x

and

y = 2x + 1

will pass the horizontal line test.

But

y =  {x}^{2}

has a v-shape and hence cannot pass the horizontal line test.

This means that y=x² is not invertible. That is, its inverse is not a function.

Let us quickly check that:

y =  {x}^{2}

Interchange x and y.

x =  {y}^{2}

Solve for y,

y =  \pm \:  \sqrt{x}

This is not a function, because it doesn't pass the vertical line test.

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