The function C = (5/9)(F - 32) expresses the Celsius temperature as a function of the Fahrenheit temperature. Find the inverse function. What is it used for?
C = ( 5 / 9 ) ( F - 32 ) Multiply both sides by 9
9 C = 5 ( F - 32 ) Divide both sides by 5
( 9 / 5 ) C = F - 32 Add 32 to both sides
( 9 / 5 ) C + 32 = F - 32 + 32
( 9 / 5 ) C + 32 = F
F = ( 9 / 5 ) C + 32
Thank you!
To find the inverse function, we need to swap the roles of the x and y variables and solve for y.
The given function is: C = (5/9)(F - 32)
Let's rewrite it with C as the dependent variable and F as the independent variable:
F = (9/5)C + 32
Now, we can swap the roles of F and C and solve for C:
C = (9/5)F + 32
Therefore, the inverse function is: F = (9/5)C + 32
The inverse function is used to convert temperatures from Celsius to Fahrenheit. By using this function, we are able to calculate the corresponding Fahrenheit temperature when given the Celsius temperature. It helps in converting temperature values between the two scales.