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Let . Find the intervals where is positive or…
MATHEMATICS · Subjective · GCSE · Mathematics · Algebra · Algebra
Problem
Let
f
(
x
)
=
(
x
−
3
)
(
x
+
2
)
(
x
+
6
)
(
x
+
1
)
(
x
−
5
)
f(x)=\dfrac{(x-3)(x+2)(x+6)}{(x+1)(x-5)}
f
(
x
)
=
(
x
+
1
)
(
x
−
5
)
(
x
−
3
)
(
x
+
2
)
(
x
+
6
)
. Find the intervals where
f
(
x
)
f(x)
f
(
x
)
is positive or negative.
Related theory
Linear Inequalities
Quadratic and rational inequalities
Algebra
Inequalities
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