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8 January, 14:45

The function g is defined by g (x) = cx-3, where c is a constant. Find c if the value of g (x) at x=0.5 is equal to - 1

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  1. 8 January, 14:49
    0
    c = 4

    Step-by-step explanation:

    In g (x) = cx-3 when x is set to 0.5, g (x) = - 1.

    We can solve for "c" when it is the only variable in the equation.

    Substitute x for 0.5 and g (x) for - 1. Isolate "c" to solve by doing reverse operations.

    g (x) = cx - 3

    g (0.5) = 0.5c - 3 Substitute x=0.5

    -1 = 0.5c - 3 Substitute g (0.5) = - 1

    -1 + 3 = 0.5c - 3 + 3 Add 3 to both sides to start isolating c

    2 = 0.5c

    2/0.5 = 0.5c/0.5 Divide both sides by 0.5 to isolate c

    4 = c Value of c

    c = 4 Standard formatting puts the variable on the left side

    Therefore the value of c if g (0.5) = -1 is 4.
  2. 8 January, 14:49
    0
    c = 4.

    Step-by-step explanation:

    Substitute the given values x = 0.5 and g (x) = - 1:

    -1 = c (0.5) - 3

    0.5c = - 1 + 3 = 2

    c = 2/0.5

    c = 4.
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