Question

current learning objective: evaluating exponential functions
question 2
score: 0 of 1 point
let $f(x) = \frac{(3.3)^{x+3}}{9}$. evaluate $f(3)$ using a calculator. round to three decimal places.
$f(3) = $ enter your answer $\sqrt{x}$

Explanation:

Step1: Substitute \(x = 3\) into the function

Substitute \(x = 3\) into \(f(x)=\frac{(3.3)^{x + 3}}{9}\). Then \(f(3)=\frac{(3.3)^{3+3}}{9}=\frac{(3.3)^{6}}{9}\).

Step2: Calculate \((3.3)^{6}\)

Using a calculator, \((3.3)^{6}=3.3\times3.3\times3.3\times3.3\times3.3\times3.3 = 1291.467969\).

Step3: Divide the result by 9

\(f(3)=\frac{1291.467969}{9}\approx143.496\)

Answer:

\(143.496\)