Question

The formula for converting from Celsius to Fahrenheit temperatures is F=9/5C+32

"Determine whether the original formula is a function, and whether the inverse is a function''
A. Original is a function; inverse is not
B. Original is a function; inverse is a function
C. Original is not a function; inverse is not a function
D. Original is not a function; inverse is a function

Answer 1

The correct option is B.

Explanation:

The formula for converting from Celsius to Fahrenheit temperatures is

`F=(9)/(5)C+32`

A relation is called a function if there exist a unique output for each input.

The original formula is a function because for each value of C, there exist a unique value of F.

The inverse of the function is

`F-32=(9)/(5)C`

`(5)/(9)* (F-32)=C`

The inverse is also a function because for each value of F, there exist a unique value of C.

Therefore original is a function; inverse is a function. Option B is correct.

Answer 2

Both the original and the inverse are functions because for each value of C there is a unique value of F and vice-versa.

i.e.
B. Original is a function; inverse is a function