Function Notation Worksheet With Answers Page 2
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1
2Function Notation
2007 Mathematics IA & IMA Revision/2
Exercises
(1) If f (x) = 3x + 1, then find the following
(a) f (1)
(b) f ( 2)
(c) f (x + ψ)
(d) f (x )
(2) If f (x) = 3x + x
2, then find the following
f (x + h)
f (x)
(a) f ( 1)
(b) f (x )
(c)
h
(3) Find f (g(x)), g(f (x)), f (f (x)) and g(g(x)) for the following.
1
(a) f (x) =
,
g(x) = x + 3
x
x
(b) f (x) =
,
g(x) = 2x
2
(c) f (x) = x ,
g(x) =
x (x
0)
Answers to Exercises
(1) (a) 4
(b)
5
(c) 3(x + ψ) + 1
(d) 3x + 1
6xh + h + h
(2) (a) 0
(b) 3x + x
2
(c)
= 6x + 3h + 1
h
1
1
x
(3) (a)
,
+ 3, x, x + 6
(b) x, x,
, 4x
(c) x, x, x ,
x
x + 3
x
4
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