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Given:

{:[f(t)=t^(2)-10 t],[h(t)=(24 )/(t)]:}
Vince tried to evaluate 
f(h(12)), but he made a mistake. Here is his work.
Step 
1quad f(12)=12^(2)-10(12)

=24
Step 2

{:[h(24)=(24)/(24)],[=1]:}
Step 
3f(h(12))=1
What is the mistake in Vince's work?

Given:\newlinef(t)=t210th(t)=24t \begin{array}{l} f(t)=t^{2}-10 t \\ h(t)=\frac{24}{t} \end{array} \newlineVince tried to evaluate f(h(12)) f(h(12)) , but he made a mistake. Here is his work.\newlineStep 1f(12)=12210(12) 1 \quad f(12)=12^{2}-10(12) \newline=24 =24 \newlineStep 22\newlineh(24)amp;=2424amp;=1 \begin{aligned} h(24) & =\frac{24}{24} \\ & =1 \end{aligned} \newlineStep 3f(h(12))=1 3 f(h(12))=1 \newlineWhat is the mistake in Vince's work?

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