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Explain, in one sentence, why is not defined at if even when is defined for all real…
MATHEMATICS · Subjective · AoPS · Mathematics · Functions · Functions
Problem
Explain, in one sentence, why
(
f
+
g
)
(
x
)
(f+g)(x)
(
f
+
g
)
(
x
)
is not defined at
x
=
2
x=2
x
=
2
if
g
(
x
)
=
1
x
−
2
g(x)=\dfrac{1}{x-2}
g
(
x
)
=
x
−
2
1
even when
f
f
f
is defined for all real numbers.
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