Final answer:
To solve y = -7x + 6 for x, isolate x by subtracting 6 from both sides and dividing by -7. The input(s) when the output is -10 are x = 16/7.
Step-by-step explanation:
To solve y = f(x) for x in the equation y = -7x + 6, we need to isolate x on one side of the equation. First, subtract 6 from both sides to get y - 6 = -7x. Then, divide by -7 to solve for x, which gives us x = (y - 6)/-7.
Next, we need to find the input(s) when the output is -10. We can substitute -10 for y in the equation we just found, x = (y - 6)/-7. Therefore, x = (-10 - 6)/-7, which simplifies to x = -16/-7 = 16/7.