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16 November, 13:40

The exact number of kilometers in m miles is f (m), where f is the function defined by f (m) = 1.609344m. (a) find a formula for f-1 (k). (b) what is the meaning of f-1 (k) ?

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  1. 16 November, 14:00
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    f⁻¹ (k) = k/1.609344 f⁻¹ (k) is the exact number of miles in k kilometers

    Step-by-step explanation:

    (a) If we let k = f (m), we can solve for m to find f⁻¹ (k).

    k = 1.609344m

    k/1.609344 = m = f⁻¹ (k)

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    (b) Since k is the number of kilometers in m miles, m is the number of miles in k kilometers.

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    In summary ...

    (a) f⁻¹ (k) = k/1.609344

    (b) f⁻¹ (k) is the exact number of miles in k kilometers
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