SOLUTION: Given h(x)=-3(3-x)/x, solve for h(x+a)-h(x).

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Question 102319: Given h(x)=-3(3-x)/x, solve for h(x+a)-h(x).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Given h(x)=-3(3-x)/x, solve for h(x+a)-h(x).
h%28x%29=-3%283-x%29%2Fx Original equation.
h%28x%29=%28-9%2B3x%29%2Fx Distributive property.
h%28x%29=-9%2Fx%2B3Simplify.
h%28x%29=3-9%2Fx Simplified expression.
h%28x%2Ba%29=3-9%2F%28x%2Ba%29 Plug in (x+a)
h%28x%2Ba%29-h%28x%29=3-9%2F%28x%2Ba%29-%283-9%2Fx%29
h%28x%2Ba%29-h%28x%29=3-9%2F%28x%2Ba%29-3%2B9%2Fx%29
h%28x%2Ba%29-h%28x%29=9%2Fx-9%2F%28x%2Ba%29%29
Multiply top and bottom of RHS by x(x+a).
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).
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.
h%28x%2Ba%29-h%28x%29=%289a%29%2F%28x%28x%2Ba%29%29%29 Distribute and simplify.