SOLUTION: if (x) = x+N / M - 2x, H(-2) is undefined, and H(-3)=4. Find N and M.

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Question 1033768: if (x) = x+N / M - 2x, H(-2) is undefined, and H(-3)=4. Find N and M.

Found 2 solutions by josgarithmetic, robertb:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
H%28-2%29=%28-2%2BN%29%2F%28M-2%28-2%29%29, undefined.
M%2B4=0
highlight%28M=-4%29

H%28-3%29=%28-3%2BN%29%2F%28-4-2%28-3%29%29=4
%28-3%2BN%29%2F%28-4%2B6%29=4
%28-3%2BN%29%2F%282%29=4
N-3=8
highlight%28N=11%29

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If H%28x%29=%28+x%2BN%29+%2F%28+M+-+2x%29 and H(-2) is undefined, then M - 2(-2) = 0 ==> M + 4 = 0, or M = -4.
==> H%28x%29=%28+x%2BN%29+%2F%28+-4+-+2x%29
H(-3) = 4 ==> %28+-3%2BN%29+%2F%28+-4+-+2%28-3%29%29+=+4 ==> N = 11.
Therefore, H%28x%29=%28+x%2B11%29+%2F%28+-4+-+2x%29.