document.write( "Question 1205642: If f(x) = |3x| - 10 and g(x) = 2x^3, what is (g*f)( - 2)? \n" ); document.write( "
Algebra.Com's Answer #842575 by math_tutor2020(3816)\"\" \"About 
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\n" ); document.write( "Answer: 64\r
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\n" ); document.write( "\n" ); document.write( "Scratch Work
\n" ); document.write( "f(x) = |3x| - 10
\n" ); document.write( "f(-2) = |3*(-2)| - 10
\n" ); document.write( "f(-2) = |-6| - 10
\n" ); document.write( "f(-2) = 6 - 10
\n" ); document.write( "f(-2) = -4\r
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\n" ); document.write( "\n" ); document.write( "g(x) = 2x^3
\n" ); document.write( "g(-2) = 2(-2)^3
\n" ); document.write( "g(-2) = 2(-8)
\n" ); document.write( "g(-2) = -16\r
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\n" ); document.write( "\n" ); document.write( "(g*f)(-2) = g(-2)*f(-2)
\n" ); document.write( "(g*f)(-2) = -16*(-4)
\n" ); document.write( "(g*f)(-2) = 64
\n" ); document.write( "You can use Desmos or GeoGebra (among many other tools) as a way to confirm.
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