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27 August, 20:24

write two linear functions, f (x) and g (x). For example, f (x) = 3x-7 and g (x) = - 2x+5. Then see whether f (x) - (-g (x)) is equivalent to f (x) + g (x).

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  1. 27 August, 20:36
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    the two expressions are equivalent.

    Step-by-step explanation:

    We know that f (x) = 3x-7 and g (x) = - 2x+5, therefore:

    f (x) - (-g (x)) = 3x-7 - (+2x-5) = 3x - 7 - 2x + 5 = x - 2

    f (x) + g (x) = 3x-7 - 2x + 5 = x - 2

    Therefore, f (x) - (-g (x)) is equivalent to f (x) + g (x).

    Another way to check that the two expressions are equivalent is by solving the parenthesis:

    f (x) - (-g (x)) → f (x) + g (x)

    Therefore, the two expressions are equivalent.
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