Question

Use the following function rule to find f(3.57). f(x) = x 0.51 + 0.14 Write your answer as a decimal or whole number. f(3.57) =

Answer 1

To find \( f(3.57) \) using the function rule \( f(x) = x^{0.51} + 0.14 \), we can substitute \( 3.57 \) into the function:

\[
f(3.57) = 3.57^{0.51} + 0.14
\]

Now let's calculate \( 3.57^{0.51} \).

Using a calculator, we find:

\[
3.57^{0.51} \approx 1.653
\]

Now, we add \( 0.14 \):

\[
f(3.57) \approx 1.653 + 0.14 = 1.793
\]

Thus, the final result is:

\[
f(3.57) \approx 1.793
\]

To round to three decimal places, we can write:

\[
f(3.57) \approx 1.793
\]

So the answer is:

\[
\boxed{1.793}
\]