Question

Use the following function rule to find"f" ( 144 )f(144). "f" ( "x" ) equals 3 minus 4 StartRoot, "x" , EndRootf(x)=3−4x "f" ( 144 ) equalsf(144) =____________

Answer 1

To find \( f(144) \) using the function rule \( f(x) = 3 - 4\sqrt{x} \), we substitute \( x = 144 \) into the function:

\[
f(144) = 3 - 4\sqrt{144}
\]

Now we calculate \( \sqrt{144} \):

\[
\sqrt{144} = 12
\]

Now substitute \( 12 \) back into the equation:

\[
f(144) = 3 - 4 \cdot 12
\]

Now calculate \( 4 \cdot 12 \):

\[
4 \cdot 12 = 48
\]

Now substitute \( 48 \) into the equation:

\[
f(144) = 3 - 48
\]

Finally, calculate \( 3 - 48 \):

\[
f(144) = -45
\]

Thus, the final answer is:

\[
f(144) = -45
\]