Question

1) Given the function f(x) = 2x -3, evaluate f(3).

2) If the output, f(x) = -1, what was the input (x) for the same function (as
question 1)?

Answer 1

1)
`f(3) = 3`

2)
`x = 2`

Explanation:

Given:

`f(x) = 2x -3`

Evaluating
`f(3)`:

`f(3) = 2(3) -3 \\ f(3) = 6 -3 \\ f(3) = 3`

Solving for
`f(x) = -1`:

`2x -3 = 1 \\ 2x -3 +3 = 1 +3 \\ 2x = 4 \\ (2x)/(2) = (4)/(2) \\ x = 2`