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Mathematics
Problem
Consider the function
f
(
x
)
=
x
2
−
4
(
x
−
3
)
(
x
+
2
)
f(x)=\dfrac{x^{2}-4}{(x-3)(x+2)}
f
(
x
)
=
(
x
−
3
)
(
x
+
2
)
x
2
−
4
. Answer the following: a. (i) List all real numbers that cannot be taken as input for
f
f
f
. b. (ii) Write the domain of
f
f
f
in set–builder form. c. (iii) Express the same domain in interval notation.
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