Question

Evaluate the function below. Round to four decimal places, if necessary. f(x)=1.2e^{2x}-0.3, for f(3)f(3)= Answer

Answer 1

To evalueate a function f(x) on f(3), we simply has to substitute all x with 3 and evaluate the expression:

$\begin{gathered} f(x)=1.2e^{2x}-0.3 \\ f(3)=1.2e^{2\cdot3}-0.3 \\ f(3)=1.2e^6-0.3 \\ f(3)=1.2\cdot403.4287935\ldots-0.3 \\ f(3)=484.1145522\ldots-0.3 \\ f(3)=483.8145522\ldots\approx483.8146 \end{gathered}$

So, the answer is approximately 483.8146.