Question

Use the following function rule to find f(–7.26). f(x) = –2.84 ( 7.76 + x ) 2 Write your answer as a decimal or whole number. f(–7.26) =

Answer 1

To find \( f(-7.26) \) using the function rule \( f(x) = -2.84 (7.76 + x)^2 \), we will substitute \( x \) with \(-7.26\):

\[
f(-7.26) = -2.84 (7.76 + (-7.26))^2
\]

Now, simplify inside the parentheses:

\[
7.76 - 7.26 = 0.50
\]

Now we can substitute back into the function:

\[
f(-7.26) = -2.84 (0.50)^2
\]

Next, calculate \( (0.50)^2 \):

\[
(0.50)^2 = 0.25
\]

Now substitute this back into the function:

\[
f(-7.26) = -2.84 \times 0.25
\]

Finally, calculate the product:

\[
-2.84 \times 0.25 = -0.71
\]

Thus, the final answer is:

\[
f(-7.26) = -0.71
\]