Functions - Composite Functions
Functions - Composite Functions
Two functions \(f\) and \(g\) are defined as shown in the table below.
| \(x\) | \(-1\) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) |
|---|---|---|---|---|---|---|
| \(f(x)\) | \(4\) | \(1\) | \(5\) | \(5\) | \(4\) | \(2\) |
| \(g(x)\) | \(2\) | \(3\) | \(0\) | \(1\) | \(1\) | \(0\) |
- Find the values of \(f\circ g(-1)\) and \(g\circ f(-1)\).
- Find the value(s) of \(p\) such that \(f\circ g(p)=5\).
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Answer:(a) \((f\circ g)(-1)=5\), \((g\circ f)(-1)=0\). (b) \(p=-1,2,3\).
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