Questions: f(t)=t/(t-8) h(t)=-2t Evaluate. f(h(-5))=

f(t)=t/(t-8) h(t)=-2t Evaluate. f(h(-5))=
Transcript text: \[ \begin{array}{l} f(t)=\frac{t}{t-8} \\ h(t)=-2 t \end{array} \] Evaluate. \[ f(h(-5))= \]
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Solution

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Solution Steps

Step 1: Evaluate \( h(-5) \)

Given the function \( h(t) = -2t \), we substitute \( t = -5 \):

\[ h(-5) = -2(-5) = 10 \]

Step 2: Substitute the result into \( f(t) \)

Given the function \( f(t) = \frac{t}{t-8} \), we substitute \( t = 10 \):

\[ f(10) = \frac{10}{10-8} = \frac{10}{2} = 5 \]

Final Answer

\[ \boxed{5} \]

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