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Answer:
+1 and -1
Step-by-step explanation:
The function in this problem is:
First of all, we have to define the domain of the function, which is the set of values of x for which the function is defined.
In order to find the domain, we have to require that the denominator is different from zero, so
which means:
So the domain is all values of x, except from 4 and -7.
Now we can solve the problem and find the zeros of the function. The zeros can be found by requiring that the numerator is equal to zero, so:
This is verified if either one of the two factors is equal to zero, therefore:
and
We see that both values are part of the domain, so they are acceptable values: so the zeros of the function are +1 and -1.