diketahui (f°g)(x)= 2x+1 dan g(x)=4x-8. rumus untuk f(x-2)=...

<p>diketahui:<br>(fog)(x) = 2x +1&nbsp;<br>g(x) = 4x - 8<br>ditanya :<br>rumus f(x-2)?<br>jawab :<br>dicari dulu rumus f(x)<br>(fog)(x) = (f o (g(x))<br>&nbsp;2x +1 &nbsp;= &nbsp;(f o (g(x))<br>g(x) = 4x - 8 =&gt; inverskan y = 4x - 8<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; y + 8 = 4x<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (y + 8)/4 = x =&gt; 1/g(x) = (x+8)/4<br><br>(fog)(x) = 2x +1&nbsp;<br>f(4x-8) &nbsp;= 2((x+8)/4) + 1<br>f(x) = (2x + 16)/4 + 1<br>f(x) = x/2 + 4 + 1<br>f(x) = x + 10<br><br>untuk f(x-2) :&nbsp;<br>f(x-2) = x - 2 + 10&nbsp;<br>f(x-2) = x + 8<br>jadi nilai f(x-2) adalah x + 8</p>