1. The problem involves a function machine where the input is first transformed by multiplication by 5, then the output of this step is processed further. 2. Input to function machine: 5 3. First transformation: multiply input by 5 $$5 \times 5 = 25$$ 4. Next step: map 25 to -9. 5. To find the second transformation, we observe that 25 maps to -9. This could imply a function where the input to the second step is 25, and the output is -9. 6. The problem asks for the output when the input to the second step is 5, i.e., find the output for input 5 in the second function. 7. Since the function from input 5 to 25 is known, next, assume the second function is linear: if input 25 produces -9, then input 5 produces output $$y$$. 8. If the second step multiplies by a constant $k$, then $$k \times 25 = -9 \Rightarrow k = \frac{-9}{25}$$ 9. Thus, output for input 5 in second step: $$y = k \times 5 = \frac{-9}{25} \times 5 = -\frac{45}{25} = -\frac{9}{5} = -1.8$$ 10. Therefore, the final output after the two-step process for input 5 is -1.8. **Final answer:** $$-1.8$$