If f(x)=ax+bcx+df(x) = \frac{ax+b}{cx+d}f(x)=cx+dax+b and f(0)=1f(0) = 1f(0)=1, f(1)=2f(1) = 2f(1)=2, and f(x)f(x)f(x) has a vertical asymptote at x=−1x = -1x=−1, find the value of a+b+c+da+b+c+da+b+c+d.
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