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Finding, evaluating, and interpreting an inverse function for a given linear relationship

Finding, evaluating, and interpreting an inverse function for a given linear relationship-example-1
User Nst
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1 Answer

4 votes

Given relationship is


T(h)=38-1.25h

Suppose,


x=T(h)

(b). Now,


\begin{gathered} x=38-1.25h \\ 1.25h=38-x \\ h=(38-x)/(1.25) \end{gathered}

Thus,


T^(-1)(x)=(38-x)/(1.25)

(a). The function


T^(-1)(x)

Represents the height above the surface when the temperature is x degree celsius.

(c). Putting x=25


\begin{gathered} T^(-1)(25)=(38-25)/(1.25) \\ T^(-1)(25)=10.4 \end{gathered}

Hence, the desired value is 10.4.

User Oezi
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