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29 May, 18:21

Given f (x) = 3x-1 and g (x) = 2x-3, for what value of x does g (x) = f (2) ?

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  1. 29 May, 19:02
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    At x = 4 ⇒ g (x) = f (2)

    Step-by-step explanation:

    * In the functions f (x) = 3x - 1 and g (x) = 2x - 3, the domain is

    the values of x and the range is the values of y

    ∵ g (x) = f (2)

    * Then you will use the range of f (x) at x = 2 to find the domain of g (x)

    ∵ The domain of f (x) = 2

    ∵ f (x) = 3x - 1

    ∴ f (2) = 3 (2) - 1 = 6 - 1 = 5

    * The range of f (x) = 5

    ∵ f (2) = g (x)

    ∴ 5 = g (x)

    ∵ g (x) = 2x - 3

    ∴ 2x - 3 = 5 ⇒ add 3 to both sides

    ∴ 2x = 8 ⇒ divide both sides by 2

    ∴ x = 4

    * At x = 4 ⇒ g (x) = f (2)
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