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If 1/10 < x < 1, for what value of x is the value of 10 + 1/x greatest?

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Respuesta :

Answer:

Step-by-step explanation:

We can safely focus on 1/x.  The smaller x is, the greater 1/x will be.  Note that x cannot equal zero.  Here we are asked to focus on 1/10 < x < 1, in which 1/10 is obviously the smallest x value.  But 1/10 < x < 1 restricts x to numbers greater than 1/10.  The graph of y = 10 + 1/x is not defined for x = 1/10, but as we approach x = 1/10 along the graph, we see the graph approaching (but not touching) the maximum value 10 + 1/(1/10), or 20.