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MTH102 (Question Set One)
Question 2 of 50
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Functions & Continuity
PAST QUESTION
Given
g
(
x
)
=
x
2
+
1
g(x) = x^{2} + 1
g
(
x
)
=
x
2
+
1
and
f
(
x
)
=
x
/
(
x
−
1
)
f(x) = x/(x-1)
f
(
x
)
=
x
/
(
x
−
1
)
, what is
(
g
∘
f
)
(
x
)
(g \circ f)(x)
(
g
∘
f
)
(
x
)
?
A
(
2
x
−
1
)
/
(
x
−
1
)
2
(2x-1)/(x-1)^{2}
(
2
x
−
1
)
/
(
x
−
1
)
2
B
(
2
x
+
1
)
/
(
x
−
1
)
(2x+1)/(x-1)
(
2
x
+
1
)
/
(
x
−
1
)
C
(
2
x
+
1
)
/
(
x
−
1
)
2
(2x+1)/(x-1)^{2}
(
2
x
+
1
)
/
(
x
−
1
)
2
D
(
2
x
(
x
−
1
)
+
1
)
/
(
x
−
1
)
2
(2x(x-1)+1)/(x-1)^{2}
(
2
x
(
x
−
1
)
+
1
)
/
(
x
−
1
)
2
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