Question

8.7 use radicals in functions (homework)
score: 2/10 answered: 3/10
question 4
if (f(x)=sqrt{2x^{2}+11}), then (f(2)=)
(leave your answer in exact form. enter dne if the function is undefined or not a real number)
question help: video written example
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Explanation:

Step1: Substitute x = 2

Substitute \(x = 2\) into \(2x^{2}+11\). So we get \(2\times(2)^{2}+11\).

Step2: Calculate the value inside the square - root

First, calculate \((2)^{2}=4\), then \(2\times4 = 8\), and \(8 + 11=19\). So \(f(2)=\sqrt{2\times(2)^{2}+11}=\sqrt{19}\).

Answer:

\(\sqrt{19}\)