document.write( "Question 1090187: f(x)=x^2 + 3 and g(x) = -2x + 6
\n" ); document.write( "Find (fg)(4)
\n" ); document.write( "Find (f+g)(3)
\n" ); document.write( "Find (f/g)(5)
\n" ); document.write( "Find (f-g)(4)
\n" ); document.write( "Find (f+g)(-5) \n" ); document.write( "

Algebra.Com's Answer #704604 by Tatiana_Stebko(1539) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find (fg)(4)
\n" ); document.write( "I way: (fg)(x)= $\"%28x%5E2%2B3%29%28-2x%2B6%29=-2x%5E3%2B6x%5E2-6x%2B18\"$
\n" ); document.write( "(fg)(4)= $\"-2%2A4%5E3%2B6%2A4%5E2-6%2A4%2B18=-38\"$
\n" ); document.write( "II way: $\"f%284%29=4%5E2%2B3=19\"$
\n" ); document.write( " $\"g%284%29=-2%2A4%2B6=-2\"$
\n" ); document.write( " $\"fg%284%29=19%2A%28-2%29=-38\"$
\n" ); document.write( ".
\n" ); document.write( "Find (f+g)(3)
\n" ); document.write( " $\"f%283%29=3%5E2%2B3=12\"$
\n" ); document.write( " $\"g%283%29=-2%2A3%2B6=0\"$
\n" ); document.write( "(f+g)(3)= $\"12%2B0=12\"$
\n" ); document.write( ".
\n" ); document.write( "Find (f/g)(5)
\n" ); document.write( " $\"f%285%29=5%5E2%2B3=28\"$
\n" ); document.write( " $\"g%285%29=-2%2A5%2B6=-4\"$
\n" ); document.write( "(f/g)(5)= $\"28%2F-4=-7\"$
\n" ); document.write( ".
\n" ); document.write( "Find (f-g)(4)
\n" ); document.write( " $\"f%284%29=4%5E2%2B3=19\"$
\n" ); document.write( " $\"g%284%29=-2%2A4%2B6=-2\"$
\n" ); document.write( " $\"%28f-g%29%284%29=19-%28-2%29=21\"$
\n" ); document.write( ".
\n" ); document.write( "Find (f+g)(-5)
\n" ); document.write( " $\"f%28-5%29=%28-5%29%5E2%2B3=28\"$
\n" ); document.write( " $\"g%28-5%29=-2%2A%28-5%29%2B6=16\"$
\n" ); document.write( "(f+g)(-5)= $\"28%2B16=44\"$ \n" ); document.write( "

\n" );