The point (6, -12) is on the graph of y = f(x), which point must be on the graph of y = f (-1/3x + 6)? Answer key says (0, -12).
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Let g(x) = f(−1/3 x + 6)
We know that f(6) = −12
So we need to find x so that
−1/3 x + 6 = 6
−1/3 x = 0
x = 0
g(0) = f(−1/3(0) + 6) = f(6) = −12
Point (0,−12) must be on the graph of g(x) = f(−1/3 x + 6)
We know that f(6) = −12
So we need to find x so that
−1/3 x + 6 = 6
−1/3 x = 0
x = 0
g(0) = f(−1/3(0) + 6) = f(6) = −12
Point (0,−12) must be on the graph of g(x) = f(−1/3 x + 6)