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DENIUS [597]
3 years ago
10

Determine the domain of the function f(x)=sqrt of x+3/(x+8)(x-2)

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0
Unclear.  Did you mean


<span>f(x)= [sqrt of x+3]
       --------------------
          (x+8)

or did you mean
                               3
</span><span>f(x)= [sqrt of x] + ----------
                              x+8


I will focus on the first possibility.  The domain of sqrt(x+3) is [-3,infinity).
The domain of    x+3
                          ------- is   "x is not equal to -8."
                            x+8

Then the overall domain would be simply [-3, infinity).
</span>
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<h2>Explanation:</h2><h2 />

When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:

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_________________________________________

So the mathematical form of the statement <em>twice the difference of a number and 2 is at most -27 </em>is:

\boxed{2(n-2)\leq -27}

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