<p>Two functions \(f\) and \(g\) are defined as shown in the table below.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 350px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center">\(x\)</th><th style="text-align: center; --cell-justify: center">\(-1\)</th><th style="text-align: center; --cell-justify: center">\(0\)</th><th style="text-align: center; --cell-justify: center">\(1\)</th><th style="text-align: center; --cell-justify: center">\(2\)</th><th style="text-align: center; --cell-justify: center">\(3\)</th><th style="text-align: center; --cell-justify: center">\(4\)</th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">\(f(x)\)</td><td style="text-align: center; --cell-justify: center">\(4\)</td><td style="text-align: center; --cell-justify: center">\(1\)</td><td style="text-align: center; --cell-justify: center">\(5\)</td><td style="text-align: center; --cell-justify: center">\(5\)</td><td style="text-align: center; --cell-justify: center">\(4\)</td><td style="text-align: center; --cell-justify: center">\(2\)</td></tr><tr><td style="text-align: center; --cell-justify: center">\(g(x)\)</td><td style="text-align: center; --cell-justify: center">\(2\)</td><td style="text-align: center; --cell-justify: center">\(3\)</td><td style="text-align: center; --cell-justify: center">\(0\)</td><td style="text-align: center; --cell-justify: center">\(1\)</td><td style="text-align: center; --cell-justify: center">\(1\)</td><td style="text-align: center; --cell-justify: center">\(0\)</td></tr></tbody></table></div></div>
<p>Find the value(s) of \(p\) such that&nbsp;\(f\circ g(p)=5\).</p>
<ol class="abc-list"><li data-list-item-id="item-1783667189181-2i1m18fm6" data-list-item-path="item-1783667189181-2i1m18fm6"><div class="list-item-paragraph">Find the values of \(f\circ g(-1)\) and \(g\circ f(-1)\).</div></li><li data-list-item-id="item-1783667193547-093vm9bn0" data-list-item-path="item-1783667193547-093vm9bn0"><div class="list-item-paragraph">Find the value(s) of \(p\) such that&nbsp;\(f\circ g(p)=5\).</div></li></ol>

Two functions \(f\) and \(g\) are defined as shown in the table below.

Find the value(s) of \(p\) such that \(f\circ g(p)=5\).

Find the values of \(f\circ g(-1)\) and \(g\circ f(-1)\).

Composite Functions

Functions

International Baccalaureate Higher Level Mathematics

Functions - Composite Functions

Functions - Composite Functions