IB Mathematics Analysis and Approaches Quiz
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FUNCTIONS
Question 1
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Let
f
(
x
)
=
1
x
f(x) = \frac{1}{x}
f
(
x
)
=
x
1
and
g
(
x
)
=
x
−
3
g(x) = x-3
g
(
x
)
=
x
−
3
. The domain of
g
g
g
is restricted to
{
x
∈
R
∣
x
>
5
}
\{x \in \mathbb{R} | x > 5\}
{
x
∈
R
∣
x
>
5
}
. Find the range of the composite function
(
f
∘
g
)
(
x
)
(f \circ g)(x)
(
f
∘
g
)
(
x
)
.
A
(
0
,
1
/
2
)
(0, 1/2)
(
0
,
1/2
)
B
(
0
,
1
/
5
)
(0, 1/5)
(
0
,
1/5
)
C
(
2
,
∞
)
(2, \infty)
(
2
,
∞
)
D
(
1
/
2
,
∞
)
(1/2, \infty)
(
1/2
,
∞
)
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