Final answer:
To find the input for F(x) = -7x - 2 that results in an output of -3, we solve the equation -3 = -7x - 2 for x, yielding x = 1 / 7.
Step-by-step explanation:
To find the input values that lead to an output of -3 for the function F(x) = -7x - 2, we need to set the function equal to -3 and solve for x.
Start by substituting -3 into the function in place of F(x):
-3 = -7x - 2
Now, add 2 to both sides of the equation to isolate the terms with x:
-3 + 2 = -7x
-1 = -7x
Next, divide both sides by -7 to solve for x:
x = -1 / -7
x = 1 / 7
Therefore, the input that gives an output of -3 for this function is x = 1 / 7.