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3 November, 00:45

11. If f (x) = 4x-9, what is the equation for f^-1 (x) ?

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  1. 3 November, 04:36
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    F (x) = 4x - 9

    let f (x) = y, this implies that x = f⁻¹ (y)

    y = 4x - 9 Let us solve for x.

    4x - 9 = y

    4x = y + 9

    x = (y + 9) / 4

    Recall that x = f⁻¹ (y),

    x = (y + 9) / 4

    f⁻¹ (y) = (y + 9) / 4

    That means that for f⁻¹ (x)

    f⁻¹ (x) = (x + 9) / 4

    Hope this explains it.
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