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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

Respuesta :

nobillionaireNobley
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

Answer:

The correct option is B.

Step-by-step explanation:

The formula for converting from Celsius to Fahrenheit temperatures is

[tex]F=\frac{9}{5}C+32[/tex]

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

[tex]F-32=\frac{9}{5}C[/tex]

[tex]\frac{5}{9}\times (F-32)=C[/tex]

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.

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