Functions (CIE IGCSE Maths: Extended)

Topic Questions

1 mark

$g (x) = 1 - 2 x h (x) = \frac{1}{x}, x \neq 0 j (x) = 5^{x}$

Find $hh (x)$ , giving your answer in its simplest form.

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1 mark

Find $j (5)$ .

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2 marks

$j (x) = hg (- 12)$

Find the value of $x$ .

$x =$ ................................................

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2 marks

$f (x) = x^{2} + 1 g (x) = 1 - 2 x h (x) = \frac{1}{x}, x \neq 0 j (x) = 5^{x}$

Find the value of

f (3)

[1]

ii)

gf (3)

[1]

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2 marks

Find $g^{- 1} (x)$ .

$g^{- 1} (x) =$ ................................................

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1 mark

Find $x$ when $h (x) = 2$ .

$x =$ ................................................

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4 marks

$g (x) = 1 - 2 x$

Find the value of

Find $g (x) g (x) - gg (x)$ , giving your answer in the form $a x^{2} + b x + c$ .

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