igureMaths
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Browse Functions
37 questions at your level
Difficulty
All
Level 2
Level 3
Level 4
Level 5
Function notation
14 questions
Lesson
Not started
Mark as done
f
(
x
)
=
3
x
−
4
f(x) = 3x - 4
f
(
x
)
=
3
x
−
4
(a)
Work out
f
(
5
)
f(5)
f
(
5
)
(b)
Work out
f
(
−
2
)
f(-2)
f
(
−
2
)
(c)
Solve
f
(
x
)
=
20
f(x) = 20
f
(
x
)
=
20
●●●
●●
Level 3
4 marks
Start
→
Mark as done
h
(
x
)
=
x
−
3
2
h(x) = \dfrac{x - 3}{2}
h
(
x
)
=
2
x
−
3
(a)
Work out
h
(
11
)
h(11)
h
(
11
)
(b)
Solve
h
(
x
)
=
−
5
h(x) = -5
h
(
x
)
=
−
5
●●●
●●
Level 3
3 marks
Start
→
Mark as done
g
(
x
)
=
10
−
3
x
g(x) = 10 - 3x
g
(
x
)
=
10
−
3
x
(a)
Work out
g
(
4
)
g(4)
g
(
4
)
(b)
Solve
g
(
x
)
=
−
8
g(x) = -8
g
(
x
)
=
−
8
●●●
●●
Level 3
3 marks
Start
→
Mark as done
f
(
x
)
=
5
x
−
4
\mathrm{f}(x) = 5x - 4
f
(
x
)
=
5
x
−
4
(a)
Work out
f
(
3
)
\mathrm{f}(3)
f
(
3
)
. [1]
(b)
Find
f
−
1
(
x
)
\mathrm{f}^{-1}(x)
f
−
1
(
x
)
. [2]
(c)
Solve
f
(
x
)
=
f
−
1
(
x
)
\mathrm{f}(x) = \mathrm{f}^{-1}(x)
f
(
x
)
=
f
−
1
(
x
)
. [1]
●●●
●●
Level 3
4 marks
Start
→
Composite functions
16 questions
Lesson
Not started
Mark as done
f
(
x
)
=
x
−
1
f(x) = x - 1
f
(
x
)
=
x
−
1
and
g
(
x
)
=
4
x
g(x) = 4x
g
(
x
)
=
4
x
(a)
Work out
g
f
(
5
)
gf(5)
g
f
(
5
)
(b)
Work out
f
g
(
5
)
fg(5)
f
g
(
5
)
●●●
●●
Level 3
4 marks
Start
→
Mark as done
f
(
x
)
=
3
x
−
2
f(x) = 3x - 2
f
(
x
)
=
3
x
−
2
and
g
(
x
)
=
x
+
5
g(x) = x + 5
g
(
x
)
=
x
+
5
(a)
Work out
f
g
(
2
)
fg(2)
f
g
(
2
)
(b)
Work out
g
f
(
2
)
gf(2)
g
f
(
2
)
●●●
●●
Level 3
4 marks
Start
→
Mark as done
The functions
f
\mathrm{f}
f
and
g
\mathrm{g}
g
are such that
f
(
x
)
=
3
x
−
2
g
(
x
)
=
x
2
+
1
\mathrm{f}(x) = 3x - 2 \qquad \mathrm{g}(x) = x^2 + 1
f
(
x
)
=
3
x
−
2
g
(
x
)
=
x
2
+
1
(a)
Find
f
g
(
4
)
\mathrm{fg}(4)
fg
(
4
)
(2 marks)
(b)
Find
f
−
1
(
x
)
\mathrm{f}^{-1}(x)
f
−
1
(
x
)
(2 marks)
●●●
●●
Level 3
4 marks
Start
→
Inverse functions
13 questions
Lesson
Not started
Mark as done
The functions
f
\mathrm{f}
f
and
g
\mathrm{g}
g
are such that
f
(
x
)
=
3
x
−
2
g
(
x
)
=
x
2
+
1
\mathrm{f}(x) = 3x - 2 \qquad \mathrm{g}(x) = x^2 + 1
f
(
x
)
=
3
x
−
2
g
(
x
)
=
x
2
+
1
(a)
Find
f
g
(
4
)
\mathrm{fg}(4)
fg
(
4
)
(2 marks)
(b)
Find
f
−
1
(
x
)
\mathrm{f}^{-1}(x)
f
−
1
(
x
)
(2 marks)
●●●
●●
Level 3
4 marks
Start
→
Mark as done
f
(
x
)
=
5
x
−
4
\mathrm{f}(x) = 5x - 4
f
(
x
)
=
5
x
−
4
(a)
Work out
f
(
3
)
\mathrm{f}(3)
f
(
3
)
. [1]
(b)
Find
f
−
1
(
x
)
\mathrm{f}^{-1}(x)
f
−
1
(
x
)
. [2]
(c)
Solve
f
(
x
)
=
f
−
1
(
x
)
\mathrm{f}(x) = \mathrm{f}^{-1}(x)
f
(
x
)
=
f
−
1
(
x
)
. [1]
●●●
●●
Level 3
4 marks
Start
→