Question

Function F, shown below, assigns to a temperature given in degrees Celsius it's equivalent in degrees Fahrenheit. Function C, also shown below, assigns to a temperature given in degrees Kelvin its equivalent in degrees Celsius. Choose the response below that shows the correct expression for F(C(x)) and then choose the response below that correctly interprets the meaning of F(C(x)).F(x)=(9/5)x+32 C(x)=x−273

Answer 1

Given:

The expressions are given as,

`\begin{gathered} F(x_)\text{ = \lparen}(9)/(5))x\text{ + 32} \\ C(x)\text{ = x - 273} \end{gathered}`

Required:

The value of F(C(x)) and its response.

Step-by-step explanation:

The required function is calculated as,

`\begin{gathered} F(C(x))\text{ = }(9)/(5)\text{ \lparen x - 273\rparen + 32} \\ F(C(x))\text{ = }(9x)/(5)\text{ - }(2457)/(5)\text{ + 32} \\ F(C(x))\text{ = }(9x)/(5)\text{ + 32 - }(2457)/(5) \\ F(C(x))\text{ = }(9x)/(5)\text{ + }(160)/(5)\text{ - }(2457)/(5) \\ F(C(x))\text{ = }(9x)/(5)\text{ - }(2297)/(5) \\ F(C(x))\text{ = }(9x)/(5)\text{ - 459}(2)/(5) \\ \end{gathered}`