document.write( "Question 278431: g(x)=3x^2+2
\n" ); document.write( "Determine g(x+a)-g(x)= \n" ); document.write( "

Algebra.Com's Answer #202771 by jsmallt9(3758) $\"\"$ $\"About$

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$\"g%28x%29=3x%5E2%2B2\"$
\n" ); document.write( "When working with functions it helps to look at a formula like this as a pattern. What this equation tells us is: \"The function g takes its input, which we'll call \"x\" and it will square it, then multiply that by 3 and then add 3 to that.\" The function g, as defined above, will square, multiply by 3 and add 2 to any input you give it!

\n" ); document.write( "g(x+a) means the input is x+a. And what will g do to its input? It will square it, multiply by 3 and add 2!
\n" ); document.write( " $\"g%28x%2Ba%29+=+3%28x%2Ba%29%5E2+%2B+2\"$
\n" ); document.write( "which simplifies as follows:
\n" ); document.write( " $\"g%28x%2Ba%29+=+3%28x%5E2%2B2ax+%2Ba%5E2%29+%2B+2\"$
\n" ); document.write( " $\"g%28x%2Ba%29+=+3x%5E2%2B6ax+%2B3a%5E2+%2B+2\"$

\n" ); document.write( "For g(x+a) - g(x) we substitute the expressions above:
\n" ); document.write( "

\n" ); document.write( " \n" ); document.write( "

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