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WAEC Further Mathematics 2012 Paper

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Question : 37

Total: 40

From the diagram above,

h(g(3))

s
$\beta$
$\{s, \beta\}$
$\{s, w, \beta\}$

Solution:

Concept:

Composition of functions means applying one function after another:

h(g(3))

means first find

g(3)

, then apply

h

to that result.

Explanation:

From the arrow diagram,

3

is mapped by the function

g

to

s

.

So,

g(3) = s

.

Now apply

h

to this output:

h(g(3)) = h(s)

.

From the diagram,

s

is mapped by the function

h

to

\beta

.

Therefore,

h(s) = \beta

.

Hence,

h(g(3)) = \beta

.

Answer:

h(g(3)) = \beta

Correct option: B.

\beta

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