Thank you for visiting The formula to convert degrees Fahrenheit to degrees Celsius is as follows C x frac 5 9 x 32 1 Use this function to convert. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To convert 68°F to Celsius: C(68) = 20°C. To convert 35°C to Fahrenheit: F(35) = 95°F. Verifying the inverse nature of the formulas, we showed that converting 20°C to Fahrenheit and back to Celsius returns the original 20°C, proving they are inverses.
To convert 68°F to Celsius using the given formula C(x) = 5/9(x – 32), we substitute x with 68:
C(68) = 5/9(68 – 32) = 5/9(36) = 20°C
To convert 35°C to Fahrenheit, we use the inverse of the Celsius to Fahrenheit formula, which is F(x) = (9/5)x + 32. So:
F(35) = (9/5)×35 + 32 = 63 + 32 = 95°F
To verify that the equations are inverses of one another, we will show that applying them sequentially returns the original value:
Let's start with a Celsius temperature, say 20°C:
F(20) = (9/5)×20 + 32 = 36 + 32 = 68°F
Now converting back to Celsius:
C(68) = 5/9(68 – 32) = 5/9(36) = 20°C
Since we get back our original Celsius value, this confirms that the two formulas are indeed inverses of each other.
Thank you for reading the article The formula to convert degrees Fahrenheit to degrees Celsius is as follows C x frac 5 9 x 32 1 Use this function to convert. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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