Question

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.

Answer 1

`F = ( (9)/(5)C ) + 32`

with F = xF and C = xC

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

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

Explanation:

`f(x) = (5)/(9)(x-32) \\xC = (5)/(9)(xF-32) \\xC * (9)/(5) = (5)/(9)(xF-32) * (9)/(5) \\xC * (9)/(5) + 32 = xF - 32 + 32 \\\\xC * (9)/(5) + 32 = xF`