Estrada Ortega
03/08/2024 · High School
The function \( f \) is defined by \( f(x)=\frac{x+5}{4 x+7} \) Find \( f(2 x) \). \( f(2 x)=\square \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find \( f(2x) \), we start with the function definition:
\[
f(x) = \frac{x + 5}{4x + 7}
\]
Now, we need to substitute \( 2x \) for \( x \) in the function:
\[
f(2x) = \frac{2x + 5}{4(2x) + 7}
\]
Calculating the denominator:
\[
4(2x) + 7 = 8x + 7
\]
Now we can write \( f(2x) \):
\[
f(2x) = \frac{2x + 5}{8x + 7}
\]
Thus, the final result is:
\[
f(2x) = \frac{2x + 5}{8x + 7}
\]
Quick Answer
\( f(2x) = \frac{2x + 5}{8x + 7} \)
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