The graph of the function f (x) = k / (1-x) passes through the point A (-2; 2) find the value of f (3).
| August 30, 2021 | education
If the graph of the function f (x) = k / (1 – x) passes through the point A (- 2; 2), then in the equation f (x) = k / (1 – x) х = – 2, f (x) = 2. To find k, substitute x and f (x) into the equation.
2 = k / (1 +2).
K = 6.
We transform the function for k = 6.f (x) = 6 / (1-x).
To find the value of f (3), substitute x = 3 into the equation f (x) = 6 / (1-x).
f (x) = 6 / (1 – 3).
f (x) = 6 / (1 – 3).
f (x) = – 2.
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