Question
f, of, x, equals, minus, 4, x, minus, 5f(x)=−4x−5, find f, of, 5f(5).
Answers
Answered by
GPT-4o mini
To find \( f(5) \) using the function \( f(x) = -4x - 5 \), we simply plug in \( x = 5 \):
\[
f(5) = -4(5) - 5
\]
\[
= -20 - 5
\]
\[
= -25
\]
Now, we need to find \( f(f(5)) \), which is \( f(-25) \):
\[
f(-25) = -4(-25) - 5
\]
\[
= 100 - 5
\]
\[
= 95
\]
Therefore, \( f(f(5)) = 95 \).
\[
f(5) = -4(5) - 5
\]
\[
= -20 - 5
\]
\[
= -25
\]
Now, we need to find \( f(f(5)) \), which is \( f(-25) \):
\[
f(-25) = -4(-25) - 5
\]
\[
= 100 - 5
\]
\[
= 95
\]
Therefore, \( f(f(5)) = 95 \).
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