Functions | CIE IGCSE Maths: Extended Paper 2 2023

1

2 marks

$f (x) = 3 x^{2} + a$ where $a$ is an integer.
$f (- 2) = 19$

Find the value of $a$ .

$a =$ ................................................

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1

4 marks

$g (x) = 2 x + 7$ $h (x) = 3 x - 8$

i)

Find

gh (x)

in its simplest form.

[2]

ii)

Find

g^{- 1} (x)

.

g^{- 1} (x)

................................................ [2]

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1

2 marks

$h (x) = 3^{x}$ .

If $h (3 x) = k^{x}$ , find the value of $k$ .

$k$ = ................................................

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CIE IGCSE Maths: Extended