QuestionEvaluate the function $f(x)=\frac{\sqrt{x-4}}{x^{2}-8}$ at $f(7)$ . Is it defined or undefined?

Studdy Solution

STEP 1

Assumptions1. The function is given by $f(x)=\frac{\sqrt{x-4}}{x^{}-8}$ . We are asked to evaluate $f(7)$

STEP 2

Substitute $x=7$ into the function.
$f(7)=\frac{\sqrt{7-4}}{7^{2}-8}$

STEP 3

implify the expression in the square root and the denominator.
$f(7)=\frac{\sqrt{3}}{49-8}$

STEP 4

implify the denominator.
$f(7)=\frac{\sqrt{3}}{41}$ So, the correct answer is A. $f(7)=\frac{\sqrt{3}}{41}$ .

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