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. \[ \begin{array}{l} f(x)=6 x-5 \\ g(x)=2 x-5 \end{array} \] \[ (f \circ g)(3) \] \[ (\mathrm{f} \circ \mathrm{g})(3)=\square \]
Solution
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.
