Problem

Let the functions $f$ and $g$ be given by the equations on the right. Evaluate the indicated function without finding an equation for the function.
\[
\begin{array}{l}
f(x)=6 x-5 \\
g(x)=2 x-5
\end{array}
\]
\[
(f \circ g)(3)
\]
\[
(\mathrm{f} \circ \mathrm{g})(3)=\square
\]

Answer

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Answer

\(\boxed{1}\) is the final answer.

Steps

Step 1 :Find the value of g(3) by substituting x = 3 into the function g(x) = 2x - 5. This gives us g(3) = 2*3 - 5 = 6 - 5 = 1.

Step 2 :Substitute the value of g(3) = 1 into the function f(x) = 6x - 5. This gives us f(g(3)) = 6*1 - 5 = 6 - 5 = 1.

Step 3 :\(\boxed{1}\) is the final answer.

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