document.write( "Question 102319: Given h(x)=-3(3-x)/x, solve for h(x+a)-h(x). \n" ); document.write( "

Algebra.Com's Answer #74368 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given h(x)=-3(3-x)/x, solve for h(x+a)-h(x).
\n" ); document.write( " $\"h%28x%29=-3%283-x%29%2Fx\"$ Original equation.
\n" ); document.write( " $\"h%28x%29=%28-9%2B3x%29%2Fx\"$ Distributive property.
\n" ); document.write( " $\"h%28x%29=-9%2Fx%2B3\"$ Simplify.
\n" ); document.write( " $\"h%28x%29=3-9%2Fx\"$ Simplified expression.
\n" ); document.write( " $\"h%28x%2Ba%29=3-9%2F%28x%2Ba%29\"$ Plug in (x+a)
\n" ); document.write( " $\"h%28x%2Ba%29-h%28x%29=3-9%2F%28x%2Ba%29-%283-9%2Fx%29\"$
\n" ); document.write( " $\"h%28x%2Ba%29-h%28x%29=3-9%2F%28x%2Ba%29-3%2B9%2Fx%29\"$
\n" ); document.write( " $\"h%28x%2Ba%29-h%28x%29=9%2Fx-9%2F%28x%2Ba%29%29\"$
\n" ); document.write( "

Multiply top and bottom of RHS by x(x+a).
\n" ); document.write( " $\"h%28x%2Ba%29-h%28x%29=%289%28x%2Ba%29-9x%29%2F%28x%28x%2Ba%29%29%29\"$ Multiply top and bottom of RHS by x(x+a).
\n" ); document.write( " $\"h%28x%2Ba%29-h%28x%29=%28cross%289x%29%2B9a-cross%289x%29%29%2F%28x%28x%2Ba%29%29%29\"$ Distribute and simplify.
\n" ); document.write( " $\"h%28x%2Ba%29-h%28x%29=%289a%29%2F%28x%28x%2Ba%29%29%29\"$ Distribute and simplify. \n" ); document.write( "

\n" );