We are given a function machine that takes an input, multiplies it by -7, then adds 3 to the result. The final output is -11. We need to find the original input.

1. Problem Description

We are given a function machine that takes an input, multiplies it by -7, then adds 3 to the result. The final output is -

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1. We need to find the original input.

2. Solution Steps

Let $x$ be the input. The function machine performs the following operations:

$x \times -7 + 3 = -11$

$-7x + 3 = -11$

Subtract 3 from both sides of the equation:

$-7x + 3 - 3 = -11 - 3$

$-7x = -14$

Divide both sides by -7:

$\frac{-7x}{-7} = \frac{-14}{-7}$

$x = 2$

3. Final Answer

The input of the function machine is 2.