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Papers 1 and 2 · Pure
2.8 Algebra and functions
Question 1 · 8 marks
Calculator allowed
Spec and skills
Paper scope: Pure 1/2
Spec P2.8
Spec OT1.4
Original practice question
The functions
f
f
f
and
g
g
g
are defined by
f
(
x
)
=
3
x
+
1
f(x) = \frac{3}{x + 1}
f
(
x
)
=
x
+
1
3
,
x
>
−
1
x > -1
x
>
−
1
,
and
g
(
x
)
=
2
x
−
5
g(x) = 2x - 5
g
(
x
)
=
2
x
−
5
,
x
∈
R
x \in \mathbb{R}
x
∈
R
.
(a)
Find
f
g
(
4
)
fg(4)
f
g
(
4
)
.
2 marks