Functions - Composite Functions
Functions - Composite Functions
Two functions \(f\) and \(g\) are defined as shown in the table below.
| \(x\) | \(-2\) | \(-1\) | \(0\) | \(1\) | \(2\) | \(3\) |
|---|---|---|---|---|---|---|
| \(f(x)\) | \(3\) | \(6\) | \(2\) | \(5\) | \(5\) | \(1\) |
| \(g(x)\) | \(1\) | \(2\) | \(-1\) | \(0\) | \(3\) | \(0\) |
- Find the values of \(f\circ g(-2)\) and \(g\circ f(-2)\).
- Find the value(s) of \(p\) such that \(f\circ g(p)=6\).
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Answer:(a) \((f\circ g)(-2)=5\), \((g\circ f)(-2)=0\). (b) \(p=0\).
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