SOLUTION: function question: if f(x)= {{{(5x+B)/(2x-A)}}} and f(2)=0, f(4)=undefined, then find A and B. I appreciate any help

Algebra ->  Functions -> SOLUTION: function question: if f(x)= {{{(5x+B)/(2x-A)}}} and f(2)=0, f(4)=undefined, then find A and B. I appreciate any help      Log On


   



Question 690551: function question: if f(x)= %285x%2BB%29%2F%282x-A%29 and f(2)=0, f(4)=undefined, then find A and B.
I appreciate any help

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Given: %285X%2BB%29%2F%282X-A%29
When X = 2, the function = 0
When X = 4, the function is undefinded (division by zero)
A function is undefined when the denominator is equal to zero
That means that when X = 4, that 2X - A = 0
2%2A%284%29+-+A+=+0
8+-+A+=+0
highlight%288+=+A%29
The function is zero when the numerator is equal to zero.
That happens when X = 2
5%2A%282%29+%2B+B+=+0
10+%2B+B+=+0
highlight_green%28B+=+-10%29