SOLUTION: if h(x)=2x-b/3x+4 and h(2)=1/2, what is the value of b? im really stuck on this problem and one more almost the same. i vaguely remember how to do it, but i cant remember the whole

Algebra ->  Rational-functions -> SOLUTION: if h(x)=2x-b/3x+4 and h(2)=1/2, what is the value of b? im really stuck on this problem and one more almost the same. i vaguely remember how to do it, but i cant remember the whole      Log On


   

Question 261440: if h(x)=2x-b/3x+4 and h(2)=1/2, what is the value of b? im really stuck on this problem and one more almost the same. i vaguely remember how to do it, but i cant remember the whole process...
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since h%28x%29=%282x-b%29%2F%283x%2B4%29 and h%282%29=1%2F2, this means that h%282%29=%282%2A2-b%29%2F%283%2A2%2B4%29=%284-b%29%2F10=1%2F2. Simply put, %284-b%29%2F10=1%2F2. From here, cross multiply and you will get the equation 2%284-b%29=10 which is now a linear equation. I'll let you take it from here.