Question

question 4 · 1 point
evaluate the function ( f(x)=-3 ln (x + 1)-9 ) for ( x = 2 ). round the final answer to the nearest two decimal places.
provide your answer below:

Explanation:

Step1: Substitute \(x = 2\) into the function

Substitute \(x = 2\) into \(f(x)=-3\ln(x + 1)-9\), we get \(f(2)=-3\ln(2 + 1)-9\).

Step2: Calculate \(\ln(3)\)

We know that \(\ln(3)\approx1.0986\).

Step3: Calculate \(-3\ln(3)-9\)

$$
LATEXBLOCK0
$$

Step4: Round to two decimal places

Rounding \(-12.2958\) to two decimal places, we look at the third decimal digit \(5\). Using the rounding rule (if the third decimal digit is \(5\) or more, we round up the second decimal digit), so \(-12.2958\approx - 12.30\)

Answer:

\(-12.30\)