We appreciate your visit to La fórmula tex F C frac 9 5 C 32 tex calcula la temperatura en grados Fahrenheit dada una temperatura en grados Celsius Puedes encontrar. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's find the inverse of the function [tex]\( F(C) = \frac{9}{5} C + 32 \)[/tex], which converts a temperature from Celsius to Fahrenheit.
To find the inverse, we need to solve for [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex]. Here's how we can do it step by step:
1. Start with the original function:
[tex]\[
F = \frac{9}{5} C + 32
\][/tex]
2. Isolate the term with [tex]\( C \)[/tex]:
To do this, subtract 32 from both sides:
[tex]\[
F - 32 = \frac{9}{5} C
\][/tex]
3. Solve for [tex]\( C \)[/tex]:
Now, to get [tex]\( C \)[/tex] by itself, multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
Now we have expressed [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex], which is the inverse function. Therefore, the inverse function is:
[tex]\[
C(F) = \frac{5}{9} (F - 32)
\][/tex]
This function [tex]\( C(F) \)[/tex] will convert a temperature from Fahrenheit back to Celsius.
To find the inverse, we need to solve for [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex]. Here's how we can do it step by step:
1. Start with the original function:
[tex]\[
F = \frac{9}{5} C + 32
\][/tex]
2. Isolate the term with [tex]\( C \)[/tex]:
To do this, subtract 32 from both sides:
[tex]\[
F - 32 = \frac{9}{5} C
\][/tex]
3. Solve for [tex]\( C \)[/tex]:
Now, to get [tex]\( C \)[/tex] by itself, multiply both sides by the reciprocal of [tex]\(\frac{9}{5}\)[/tex], which is [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
C = \frac{5}{9} (F - 32)
\][/tex]
Now we have expressed [tex]\( C \)[/tex] in terms of [tex]\( F \)[/tex], which is the inverse function. Therefore, the inverse function is:
[tex]\[
C(F) = \frac{5}{9} (F - 32)
\][/tex]
This function [tex]\( C(F) \)[/tex] will convert a temperature from Fahrenheit back to Celsius.
Thanks for taking the time to read La fórmula tex F C frac 9 5 C 32 tex calcula la temperatura en grados Fahrenheit dada una temperatura en grados Celsius Puedes encontrar. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
