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
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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) (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) = (f-32)
:
b) Determine f-1. What does the inverse represent?
c = (f-32)
swap c and f and solve for c
f = (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 = c +
f = c + 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) + 32
f = + 32
f = 16.2 + 32
f = 48.2 degrees
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