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Question 363117: The graph of the function g(x) contains the point (8,1/5)
What point must be on the graph of y = 5g(x) + 3?
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! "The graph of the function g(x) contains the point (8,1/5)
What point must be on the graph of y = 5g(x) + 3?"
g(x) is a function, so that means that for every value of x,
g(x) has only one result, otherwise the vertical-line test (a vertical line must only pass through one point on the graph of a function) would not be met
this means that g(8) = 1/5, since the graph of g(x) contains point (8,1/5)
y = 5 * g(8) + 3 = 5 * 1/5 + 3 = 1 + 3 = 4
y = 5 * g(x) + 3, is the same as y = 5x + 3, where g(x) is plugged in for x,
y here is the function f(x), plugging in g(8) = 1/5 for x, you get the result 4
therefore the point (1/5,4) must be on the graph of y = 5g(x) + 3
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