Provide an example of a function that does not have an inverse function. How do you prove that it is not a function?

1 answer:

5 0

If f had an inverse, then its graph would be the reflection of the graph of f about the line y = x. The graph of f and its reflection about y = x are drawn below. Note that the reflected graph does not pass the vertical line test, so it is not the graph of a function.

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Can someone solve this?

Gemiola [76]

Answer:

B : $4x\sqrt{17}$

Step-by-step explanation:

If you divide a rhombus using its diagonals, you get 4 right triangles, whose legs are both 1/2 the length of the diagonals.

This means that the legs of one of those 4 triangles have lengths of 2x/2, and 8x/2, so the legs of one of those triangles x and 4x. This makes the length of one side equal to $\sqrt{x^{2} + (4x)^{2}} = \sqrt{17x^2} = x\sqrt{17}$ . Because all 4 sides are the same length, you multiply this value by 4, and get $4x\sqrt{17}$ , which is B.