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) ?

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