Problem

If $f(x)=4 x-3$, find the following value.
\[
\frac{f(9)+f(7)}{f(3)+7}=
\]
Give answer as an integer or decimal rounded to nearest tenth.

Answer

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Answer

\(\boxed{3.6}\)

Steps

Step 1 :Find the values of f(9), f(7), and f(3) using the given function f(x) = 4x - 3:

Step 2 :f(9) = 4(9) - 3 = 33

Step 3 :f(7) = 4(7) - 3 = 25

Step 4 :f(3) = 4(3) - 3 = 9

Step 5 :Plug these values into the given expression and simplify:

Step 6 :\(\frac{f(9)+f(7)}{f(3)+7} = \frac{33+25}{9+7} = \frac{58}{16}\)

Step 7 :Simplify the fraction and round to the nearest tenth:

Step 8 :\(\frac{58}{16} = 3.625\)

Step 9 :\(\boxed{3.6}\)

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