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Mathematics
Problem
Let
R
(
x
)
=
x
2
−
9
x
+
3
R(x)=\dfrac{x^{2}-9}{x+3}
R
(
x
)
=
x
+
3
x
2
−
9
. a. (i) Simplify
R
(
x
)
R(x)
R
(
x
)
wherever it is defined. b. (ii) Determine the domain of
R
(
x
)
R(x)
R
(
x
)
. c. (iii) Examine the continuity of
R
(
x
)
R(x)
R
(
x
)
at
x
=
−
3
x=-3
x
=
−
3
. Is the discontinuity, if any, removable? Justify your answer with suitable reasoning.
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