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A few simple functions are provided of the form ax, x+b and cx+d. Values of the functions, inverses and compositions are asked for. Most are numerical but the last few questions are algebraic.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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From users who are members of CHY1205 :
| Matthew James Sykes | said | Needs to be tested | 6 years, 8 months ago |
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Matthew James Sykes 6 years, 8 months ago
Gave some feedback: Needs to be tested
Matthew James Sykes 6 years, 8 months ago
Created this as a copy of Algebra: Functions, inverses and compositions.There are 234 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| mf | integer |
-1
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| cf | integer |
0
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| mg | integer |
1
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| cg | integer |
1
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| mh | integer |
4
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| ch | integer |
-1
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| x | vector |
Vector with 20 components
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| fx | vector |
Vector with 20 components
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| gx | vector |
Vector with 20 components
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| hx | vector |
Vector with 20 components
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| fgx | vector |
Vector with 20 components
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| ghx | vector |
Vector with 20 components
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| ggx | vector |
Vector with 20 components
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| Name | Type | Generated Value |
|---|
Generated value: integer
This variable doesn't seem to be used anywhere.
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Ask the student a question, and give any hints about how they should answer this part.
f(x)={{mf}x+{cf}}.
g(x)={{mg}x+{cg}}.
h(x)={{mh}x+{ch}}.
f({x[1]})=
h({x[2]})=
f(g({x[3]}))=
g(h({x[4]}))=
g(g({x[5]}))=
f−1({fx[6]})=
h−1({hx[7]})=
g−1({gx[8]})=
h−1({hx[9]})=
g(g({x[10]}))=
If a is any number, what is g(g(a))?
g(g(a))=
If p is some number, what is f−1(p)?
f−1(p)=
If s is some number, what is g−1(s)?
g−1(s)=
Use this tab to check that this question works as expected.
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