We are given a function machine that performs two operations on an input value: first subtract 7, and then add 3. The output of the function machine is -11. We need to find the input value.

1. Problem Description

We are given a function machine that performs two operations on an input value: first subtract 7, and then add

3. The output of the function machine is -

1

1. We need to find the input value.

2. Solution Steps

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

$x - 7$

$(x - 7) + 3$

The output is -11, so we have the equation:

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

$x - 7 + 3 = -11$

$x - 4 = -11$

Add 4 to both sides of the equation:

$x - 4 + 4 = -11 + 4$

$x = -7$

3. Final Answer

The input value is -7.