contestada

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)?

Respuesta :

sqdancefan

Answer:

  • 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)

__

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

__

In summary ...

  (a) f⁻¹(k) = k/1.609344

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

Otras preguntas