Question
Use the following function rule to find f(144).
f(x) =
3 −
4
x
f(144) =
f(x) =
3 −
4
x
f(144) =
Answers
GPT-4o mini
To find \( f(144) \) using the function rule given by
\[
f(x) = 3 - \frac{4}{x},
\]
we substitute \( x = 144 \) into the function:
\[
f(144) = 3 - \frac{4}{144}.
\]
First, calculate \( \frac{4}{144} \):
\[
\frac{4}{144} = \frac{1}{36}.
\]
Now, substitute that back into the function:
\[
f(144) = 3 - \frac{1}{36}.
\]
To perform this subtraction, we need a common denominator. The common denominator between 3 and \( \frac{1}{36} \) is 36. We can express 3 as \( \frac{108}{36} \):
\[
f(144) = \frac{108}{36} - \frac{1}{36} = \frac{108 - 1}{36} = \frac{107}{36}.
\]
Thus,
\[
f(144) = \frac{107}{36}.
\]
Therefore, the final answer is
\[
f(144) = \frac{107}{36}.
\]
\[
f(x) = 3 - \frac{4}{x},
\]
we substitute \( x = 144 \) into the function:
\[
f(144) = 3 - \frac{4}{144}.
\]
First, calculate \( \frac{4}{144} \):
\[
\frac{4}{144} = \frac{1}{36}.
\]
Now, substitute that back into the function:
\[
f(144) = 3 - \frac{1}{36}.
\]
To perform this subtraction, we need a common denominator. The common denominator between 3 and \( \frac{1}{36} \) is 36. We can express 3 as \( \frac{108}{36} \):
\[
f(144) = \frac{108}{36} - \frac{1}{36} = \frac{108 - 1}{36} = \frac{107}{36}.
\]
Thus,
\[
f(144) = \frac{107}{36}.
\]
Therefore, the final answer is
\[
f(144) = \frac{107}{36}.
\]