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4 February, 00:27

If f (x) = 2x + 5 what is f - 1 (x) ?

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  1. 4 February, 00:33
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    f^-1 (x) = 1/2x - 5/2

    Step-by-step explanation:

    To find the inverse of a function, exchange x and y and then solve for y

    y = 2x+5

    Exchange x and y

    x = 2y+5

    Solve for y

    Subtract 5 from each

    x-5 = 2y+5-5

    x-5 = 2y

    Divide by 2

    (x-5) / 2 = 2y/2

    1/2x - 5/2 = y

    f^-1 (x) = 1/2x - 5/2
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