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What is the value of k in the function f(x) = (2-k)/(5x+k) if its graph passes through the point (3, -2/19)

A. -19/2
B. 4
C. -10
D. No such k exists

I think its D, but I am not sure. Please help quickly.

1 answer

This means that for x = 3, f(x) = -2/19

So, (2-k)/(5x+k) = -2/19
(2-k)/(15+k) = -2/19
38 - 19k = -30 -2k
68 = 17k
k = 68/17 = 4
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