document.write( "Question 76257: Given f(x) = –x – 3, find f(a – 2). \n" ); document.write( "

Algebra.Com's Answer #54729 by tutorcecilia(2152) $\"\"$ $\"About$

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f(x) = –x – 3 substitite x for (a – 2) and solve as much as possible.
\n" ); document.write( "f(a-2)=-x-3
\n" ); document.write( "f(a-2)=-(a-2)-3
\n" ); document.write( "f(a-2)=-a+2-3
\n" ); document.write( "f(a-2)=-a-1
\n" ); document.write( "or f(a-2) = a+1
\n" ); document.write( "or y=a+1
\n" ); document.write( ".
\n" ); document.write( "check by plugging y=a+1 and x=a-2 back into the original equation and solve.
\n" ); document.write( "a+1=-(a-2)-3
\n" ); document.write( "a+1-a+2-3
\n" ); document.write( "a+1=-a+2-3
\n" ); document.write( "a+1=-a-1
\n" ); document.write( "a+1=(-1)(-a-1) [multiply the left side by (-1)
\n" ); document.write( "a+1=a+1 [checks out]
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