Easy -1.2 This is a straightforward composite function question requiring only direct substitution (gf(x) = |1-x|) and sketching two simple graphs (a linear function and a V-shaped absolute value function). It tests basic recall of composite functions and absolute value with minimal problem-solving, making it easier than average.
2 Given that \(\mathrm { f } ( x ) = 1 - x\) and \(\mathrm { g } ( x ) = | x |\), write down the composite function \(\mathrm { gf } ( x )\).
On separate diagrams, sketch the graphs of \(y = \mathrm { f } ( x )\) and \(y = \mathrm { gf } ( x )\).
2 Given that $\mathrm { f } ( x ) = 1 - x$ and $\mathrm { g } ( x ) = | x |$, write down the composite function $\mathrm { gf } ( x )$.\\
On separate diagrams, sketch the graphs of $y = \mathrm { f } ( x )$ and $y = \mathrm { gf } ( x )$.
\hfill \mbox{\textit{OCR MEI C3 2007 Q2 [3]}}