document.write( "Question 146957: Hello I'm having a problem with one of my question on operations on functions. I will greatly appreciated if you help me out. The question is, \"Find (f+g)(x), (f*g)(x), (f-g)(x), and (f/g)(x) for f(x)=8x^2 and g(x)=1/x^2. The exponent 2 on the value x is confusing me and I don't know what to do. Thank you. \n" ); document.write( "

Algebra.Com's Answer #107321 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=8x%5E2\"$
\n" ); document.write( " $\"g%28x%29=1%2Fx%5E2\"$
\n" ); document.write( "The exponent 2 just means multiply twice,
\n" ); document.write( " $\"8x%5E2=8%2Ax%2Ax\"$
\n" ); document.write( "It's just shorthand to keep the equations more manageable.
\n" ); document.write( "Don't let that distract you.
\n" ); document.write( "Also, remember that
\n" ); document.write( " $\"1%2Fx%5E2=x%5E-2\"$
\n" ); document.write( "Now we can start,
\n" ); document.write( " $\"f%2Bg=8x%5E2%2B1%2Fx%5E2\"$
\n" ); document.write( " $\"f%2Ag=8x%5E2%2A%281%2Fx%5E2%29=8x%5E2%2Ax%5E%28-2%29=8x%5E%282-2%29=8\"$
\n" ); document.write( " $\"f-g=8x%5E2-1%2Fx%5E2\"$
\n" ); document.write( " $\"f%2Fg=8x%5E2%2F%281%2Fx%5E2%29=8x%5E2%2Ax%5E2=8x%5E4\"$ \n" ); document.write( "

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