Problem

Evaluate the function at the given value of the variable.
\[
f(x)=3 x^{2}+4
\]
a. $f(2)$
b. $f(-4)$
a. $f(2)=$

Answer

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Answer

The value of the function \(f(x)=3x^2+4\) at \(x=2\) is \(\boxed{16}\)

Steps

Step 1 :To find the value of the function at a specific point, we need to substitute the given value into the function. In this case, we need to substitute \(x=2\) into the function \(f(x)=3x^2+4\).

Step 2 :Substitute \(x=2\) into the function: \(f(2)=3(2)^2+4\)

Step 3 :Simplify the expression to get the final answer: \(f(2)=16\)

Step 4 :The value of the function \(f(x)=3x^2+4\) at \(x=2\) is \(\boxed{16}\)

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