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1 November, 11:13

Find g^-1 (x) when g (x) = 3/5 x - 9.

5/3x - 1/9

5/3 x + 9

-3/5 x + 9

5/3 x + 15

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  1. 1 November, 11:31
    0
    5/3 x + 15

    Step-by-step explanation:

    The inverse of a function is the reflection across the line y = x. As such, algebraically it is found by switching y and x in the equation and isolating to solve for y.

    g (x) = 3/5 x - 9

    x = 3/5 y - 9

    x + 9 = 3/5 y

    5 (x+9) = 3y

    (5x + 45) / 3 = y

    5/3x + 15 = y
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