contestada

The function f(x) =59(x − 32) can be used to determine the temperature in °C when the temperature is x°F. Find the inverse function that can be used to determine the temperature in °F when the temperature is x°C.

Respuesta :

Answer:

[tex]F = ( \frac{9}{5}C ) + 32[/tex]

with F = xF and C = xC

=> f(x) = (9/5)x + 32

I'm sorry I can't mark the degree symbol

Step-by-step explanation:

[tex]f(x) = \frac{5}{9}(x-32) \\xC = \frac{5}{9}(xF-32) \\xC * \frac{9}{5} = \frac{5}{9}(xF-32) * \frac{9}{5} \\xC * \frac{9}{5} + 32 = xF - 32 + 32 \\\\xC * \frac{9}{5} + 32 = xF[/tex]