Evaluate the following function for the given value.
\[
\begin{array}{l}
f(x)=-\sqrt{-9 x-7} \\
f(-26)=?
\end{array}
\]
Round your answer to two decimal places.
Answer
Final Answer: The value of the function \(f(x)=-\sqrt{-9x-7}\) at \(x=-26\) is approximately \(\boxed{-15.07}\).
Step 1 ：The function is given as \(f(x)=-\sqrt{-9x-7}\). We are asked to find the value of the function at \(x=-26\). To do this, we substitute \(x=-26\) into the function and calculate the result.
Step 2 ：Substitute \(x=-26\) into the function: \(f(-26)=-\sqrt{-9(-26)-7}\).
Step 3 ：Simplify the expression inside the square root: \(f(-26)=-\sqrt{227}\).
Step 4 ：Calculate the square root: \(f(-26)=-15.066519173319364\).
Step 5 ：Round the result to two decimal places: \(f(-26)=-15.07\).
Step 6 ：Final Answer: The value of the function \(f(x)=-\sqrt{-9x-7}\) at \(x=-26\) is approximately \(\boxed{-15.07}\).
