For which of the following does h(a)−h(b)=h(a−b) for all values of a and b? Select.
A) h(x)=x^2 B) h(x)=x/2 C) h(x)=x+5 D) h(x)=2x−1 E) h(x)=|x|
To solve this easiest way is just put the value and see that if it equals or not.   with option 1. h(a) = a^2 and h(b) = b^2   so L.H.S = a^2 - b^2   and R.H.S = (a-b)^2 ==&gt; a^2 + b^2 -2ab.   so L.H.S not equal to R.H.S   with option 2. h(a) = a/2 and h(b) = b/2   L.H.S = a/2 - b/2 ==&gt; 1/2(a-b)   R.H.S = (a-b)/2   so L.H.S = R.H.S which is the correct answer.   answer:h(x)=x/2
<result>B</result>
For which of the following does h(a)−h(b)=h(a−b) for all values of a and b?