Mathematics

Question

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

2 Answer

  • Answer:

    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.

  • Answer:

    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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