document.write( "Question 533206: I am not understanding these Adavanced Functions and could use some help please.
\n" ); document.write( "f(x)=-3x-3 and g(x)=x^2+2x find (f-g)(2) \n" ); document.write( "

Algebra.Com's Answer #351009 by KMST(5328) $\"\"$ $\"About$

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(f-g)(x)=f(x)-g(x) for all x.
\n" ); document.write( "For x=2 (f-g)(2)=f(2)-g(2)
\n" ); document.write( "You have 2 options to solve your problem:
\n" ); document.write( "Option 1 _ You can first work with the x in the functions as they are written to generate the general expression for (f-g)(x), and substitute x=2 later.
\n" ); document.write( "Option 2 _ You can calculate f(2) and g(2) first and then do the subtraction with the two numbers.
\n" ); document.write( "All that's said above works similarly for (f+g), (fxg) and (f/g)
\n" ); document.write( "Sometimes one option is easier or more convenient than the other.
\n" ); document.write( "In your case:
\n" ); document.write( "Option 1 $\"f%28x%29=-3x-3\"$ $\"g%28x%29=x%5E2%2B2x\"$
\n" ); document.write( " $\"%28f-g%29%28x%29=-3x-3-%28x%5E2%2B2x%29\"$
\n" ); document.write( " $\"%28f-g%29%28x%29=-3x-3-x%5E2-2x\"$
\n" ); document.write( " $\"%28f-g%29%28x%29=-x%5E2-5x-3\"$
\n" ); document.write( " $\"%28f-g%29%282%29=-2%5E2-5%2A2-3\"$
\n" ); document.write( " $\"%28f-g%29%282%29=-4-10-3\"$
\n" ); document.write( " $\"%28f-g%29%282%29=-17\"$
\n" ); document.write( "Option 2
\n" ); document.write( " $\"f%282%29=-3%2A2-3\"$
\n" ); document.write( " $\"f%282%29=-9\"$
\n" ); document.write( " $\"g%282%29=2%5E2%2B2%2A2\"$
\n" ); document.write( " $\"g%282%29=4%2B4\"$
\n" ); document.write( " $\"g%282%29=8\"$
\n" ); document.write( " $\"%28f-g%29%282%29=f%282%29-g%282%29=-9-8=-17\"$ \n" ); document.write( "

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