the graph of g(x) contains the point (4,-1)?

a) The point __( , )__ is on the graph of g(2x) - 5 

and 

b) The point __( , )__ is on the graph of 3g(x) + 1 

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  • 1 month ago

    The graph of g(x) contains the point (4, -1), which means that g(4) = -1 .

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    a) consider the function g(2x) - 5

    If you choose x = 2, then you get

    g(2 * 2) - 5 = g(4) - 5 = -1 - 5 = -6

    The point (2, -6) is on the graph of g(2x) - 5 .

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    b) considering the function 3g(x) + 1 , you can just use x = 4 to get

    3g(4) + 1 = (3 * -1) + 1 = -3 + 1 = -2

    The point (4, -2) is on the graph of 3g(x) + 1

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