Question

Temperature Conversion The formula for converting Celsius temperature(x) to Kelvin temperature is k(x)= x+273.16. The formula for converting Fahrenheit temperature (x) to Celsius temperature is c(z) = (5/9)(x-32).

(a) Find a formula for e⁻¹(x). What is this formula used for?
(b) Find (koc)(x). What is this formula used for?

Answer 1

To find a formula for e⁻¹(x), subtract 273.16 from the Kelvin temperature. This formula is used to convert temperatures from Kelvin to Celsius. To find (koc)(x), combine the formulas for converting Fahrenheit temperature to Celsius temperature and Celsius temperature to Kelvin temperature. This formula is used to convert temperatures from Fahrenheit to Kelvin.

Step-by-step explanation:

(a) Finding a formula for e⁻¹(x):

To find a formula for e⁻¹(x), we need to determine the relationship between Celsius and Kelvin temperatures. The formula for converting Celsius temperature(x) to Kelvin temperature is k(x)= x+273.16. To find the formula for e⁻¹(x), we need to reverse this process by subtracting 273.16 from the Kelvin temperature:

e⁻¹(x) = x - 273.16

This formula is used to convert temperatures from Kelvin to Celsius.

(b) Finding (koc)(x):

To find (koc)(x), we need to combine the formulas for converting Fahrenheit temperature to Celsius temperature and Celsius temperature to Kelvin temperature:

koc(x) = (5/9)(x-32) + 273.16

This formula is used to convert temperatures from Fahrenheit to Kelvin.