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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
2
−
9
x
−
3
f(x)=\dfrac{x^{2}-9}{x-3}
f
(
x
)
=
x
−
3
x
2
−
9
. (i) Simplify
f
(
x
)
f(x)
f
(
x
)
for all admissible values of
x
x
x
. (ii) State the excluded value of
x
x
x
and calculate the
y
y
y
-value that
f
(
x
)
f(x)
f
(
x
)
approaches as
x
x
x
tends to this excluded value.
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