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QuestionUse the function f(x)=x−4f(x)=\sqrt{x-4} to find f(13)f(13) and f(85)f(85). Simplify answers; note non-real results.

Studdy Solution

STEP 1

Assumptions1. The function rule is f(x)=x−4f(x)=\sqrt{x-4} . We need to find the values of f(x)f(x) for x=13x=13 and x=85x=85

STEP 2

First, we need to use the function rule to find the value of f(x)f(x) when x=13x=13. We do this by substituting x=13x=13 into the function rule.
f(13)=13−4f(13)=\sqrt{13-4}

STEP 3

Calculate the value inside the square root.
f(13)=9f(13)=\sqrt{9}

STEP 4

Calculate the square root of9.
f(13)=3f(13)=3

STEP 5

Now, we need to use the function rule to find the value of f(x)f(x) when x=85x=85. We do this by substituting x=85x=85 into the function rule.
f(85)=85−4f(85)=\sqrt{85-4}

STEP 6

Calculate the value inside the square root.
f(85)=81f(85)=\sqrt{81}

STEP 7

Calculate the square root of81.
f(85)=9f(85)=9The completed table is\begin{tabular}{|c|c|} \hlinexx & f(x)f(x) \\ \hline0 & Not a real number \\ \hline4 &0 \\ \hline13 &3 \\ \hline85 &9 \\ \hline\end{tabular}

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