22M.1.SL.TZ2.1

pestleMathematicsAASLPaper 122M· sl-2-2-functions-notation-domain-range-and-inverse-as-reflection, sl-2-5-composite-functions-identity-finding-inversesource ↗

The following table shows values of $f (x)$ and $g (x)$ for different values of $x$ .

Both $f$ and $g$ are one-to-one functions.

Find $g (0)$ .

[1]

Find $(f \circ g) (0)$ .

[2]

Find the value of $x$ such that $f (x) = 0$ .

[2]

Markscheme / solution

$g (0) = - 2$ A1

[1 mark]

evidence of using composite function (M1)

$f (g (0))$ OR $f (- 2)$

$(f \circ g) (0) = 8$ A1

[2 marks]

$x = 3$ A2

[2 marks]

Examiners’ report

This question was completed successfully by most of the candidates. In part (b) of the question, a few candidates did not recognize the notation for a composite function and instead incorrectly thought they were supposed to multiply values for $f (0)$ and $g (0)$ .

[N/A]