What is the inverse of the function C=5/9(F-32)
(Fahrenheit to Celsius function)
~Thanks

Question

Smeagol Smeagol

13-09-2015
Mathematics

contestada

What is the inverse of the function C=5/9(F-32)
(Fahrenheit to Celsius function)
~Thanks

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Panoyin Panoyin · Answer 1 · 2015-09-13T18:20:35+02:00

   C = ⁵/₉(F - 32)
   f(x) = ⁵/₉(x - 32)
      y = ⁵/₉(x - 32)
      y = ⁵/₉(x) - ⁵/₉(32)
      y = ⁵/₉x - 17⁷/₉
      x = ⁵/₉y - 17⁷/₉
   x + 17⁷/₉ = ⁵/₉y
      1⁴/₅(x + 17⁷/₉) = 1⁴/₅(⁵/₉y)
1⁴/₅(x) + 1⁴/₅(17⁷/₉) = y
   1⁴/₅x + 32 = y
   1⁴/₅x + 32 = f⁻¹(x)
      1⁴/₅F + 32 = C⁻¹

What is the inverse of the function C=5/9(F-32) (Fahrenheit to Celsius function) ~Thanks

Respuesta :

Otras preguntas

What is the inverse of the function C=5/9(F-32)
(Fahrenheit to Celsius function)
~Thanks