document.write( "Question 1200649: Evaluate the indicated function, where
\n" ); document.write( "f(x) = x2 − 6x + 6
\n" ); document.write( " and
\n" ); document.write( "g(x) = 5x − 4.
\n" ); document.write( "(f + g)(−7) \n" ); document.write( "

Algebra.Com's Answer #834836 by math_tutor2020(3817) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Answer: 58\r
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\n" ); document.write( "\n" ); document.write( "Work Shown:\r
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\n" ); document.write( "\n" ); document.write( "Method 1\r
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\n" ); document.write( "\n" ); document.write( "Given functions are
\n" ); document.write( " $\"f%28x%29+=+x%5E2-6x%2B6\"$
\n" ); document.write( " $\"g%28x%29+=+5x-4\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add them and simplify
\n" ); document.write( " $\"%28f%2Bg%29%28x%29+=+f%28x%29%2Bg%28x%29\"$
\n" ); document.write( " $\"%28f%2Bg%29%28x%29+=+%28x%5E2-6x%2B6%29%2B%285x-4%29\"$
\n" ); document.write( " $\"%28f%2Bg%29%28x%29+=+x%5E2-x%2B2\"$ \r
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\n" ); document.write( "\n" ); document.write( "Then plug in x = -7
\n" ); document.write( " $\"%28f%2Bg%29%28x%29+=+x%5E2-x%2B2\"$
\n" ); document.write( " $\"%28f%2Bg%29%28-7%29+=+%28-7%29%5E2-%28-7%29%2B2\"$
\n" ); document.write( " $\"%28f%2Bg%29%28-7%29+=+49%2B7%2B2\"$
\n" ); document.write( " $\"%28f%2Bg%29%28-7%29+=+56%2B2\"$
\n" ); document.write( " $\"%28f%2Bg%29%28-7%29+=+58\"$ \r
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\n" ); document.write( "\n" ); document.write( "------------------------------\r
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\n" ); document.write( "\n" ); document.write( "Method 2\r
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\n" ); document.write( "\n" ); document.write( "Plug x = -7 into each function separately
\n" ); document.write( " $\"f%28x%29+=+x%5E2-6x%2B6\"$
\n" ); document.write( " $\"f%28-7%29+=+%28-7%29%5E2-6%28-7%29%2B6\"$
\n" ); document.write( " $\"f%28-7%29+=+49%2B42%2B6\"$
\n" ); document.write( " $\"f%28-7%29+=+91%2B6\"$
\n" ); document.write( " $\"f%28-7%29+=+97\"$
\n" ); document.write( "and
\n" ); document.write( " $\"g%28x%29+=+5x-4\"$
\n" ); document.write( " $\"g%28-7%29+=+5%28-7%29-4\"$
\n" ); document.write( " $\"g%28-7%29+=+-35-4\"$
\n" ); document.write( " $\"g%28-7%29+=+-39\"$ \r
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\n" ); document.write( "\n" ); document.write( "Then add the two results
\n" ); document.write( " $\"%28f%2Bg%29%28-7%29+=+f%28-7%29%2Bg%28-7%29\"$
\n" ); document.write( " $\"%28f%2Bg%29%28-7%29+=+97%2B%28-39%29\"$
\n" ); document.write( " $\"%28f%2Bg%29%28-7%29+=+97-39\"$
\n" ); document.write( " $\"%28f%2Bg%29%28-7%29+=+58\"$ \r
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\n" ); document.write( "\n" ); document.write( "GeoGebra and Desmos are two great tools to quickly verify the answer.
\n" ); document.write( "Here's the link to the Desmos calculator results. Focus on the calculations in the left panel.
\n" ); document.write( "https://www.desmos.com/calculator/oqagw26fxj\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "WolframAlpha is another verification tool.
\n" ); document.write( "https://www.wolframalpha.com/input?i=f%28x%29%3Dx%5E2-6x%2B6%2Cg%28x%29%3D5x-4%2C+find+f%28-7%29%2Bg%28-7%29
\n" ); document.write( "I encourage you to explore other calculator options.
\n" ); document.write( "Try not to let them do 100% of the work for you, but rather use them as a verification tool at the end.
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