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Which function is continuous at x = 18? f (x) = startfraction (x minus 18) squared over x endfraction f (x) = startfraction x squared minus 17 x minus 18 over x minus 18 endfraction f (x) = tangent (startfraction pi over 36 endfraction x) f (x) = startlayout enlarged left-brace first row x squared, x not-equals 18 second row 36, x = 18 endlayout

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The function that is continuous at x = 18 is:

y = (x - 18)/x

Which function is continuous at x = 18?

We need to see which function has no problems when x = 18.

For example, the first one:

y = (x - 18)/x

When x = 18, we have:

y = (18 - 18)/18 = 0

Then this function is continuous at x = 18.

When, for the second option, we have (x - 18) on the denominator, and then when x = 18 the denominator becomes 0, so that function is not continuous at x = 18.

With that, we conclude that the correct option is the first one.

If you want to learn more about functions:

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Answer:

A on edge

Explanation: