SOLUTION: The formula for converting a temperature in degrees Fahrenheit into degrees Celsius is c=5/9(f-32) . a) Write the formula in function notation. b) Determine f-1. What does the in

Algebra ->  Rational-functions -> SOLUTION: The formula for converting a temperature in degrees Fahrenheit into degrees Celsius is c=5/9(f-32) . a) Write the formula in function notation. b) Determine f-1. What does the in      Log On


   



Question 1165860: The formula for converting a temperature in degrees Fahrenheit into degrees Celsius is c=5/9(f-32) .
a) Write the formula in function notation.
b) Determine f-1. What does the inverse represent?
c) Use the inverse function to convert 9 °C into degrees Fahrenheit.
steps needed also

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for converting a temperature in degrees Fahrenheit into degrees Celsius is c=5/9(f-32) .
a) Write the formula in function notation.
c = f(f)
f(f) = 5%2F9(f-32)
:
b) Determine f-1. What does the inverse represent?
c = 5%2F9(f-32)
swap c and f and solve for c
f = 5%2F9(c-32)
multiply both sides by 9
9f = 5(c-32)
9f = 5c - 160
add 160 to both sides
9f + 160 = 5c
or
5c = 9f + 160
divide both sides by 5
f = 9%2F5c + 160%2F5
f = 9%2F5c + 32
It represents finding f from a given temp in c
:
c) Use the inverse function to convert 9 °C into degrees Fahrenheit.
steps needed also
f = 9%2F5(9) + 32
f = 81%2F5 + 32
f = 16.2 + 32
f = 48.2 degrees