Question

Question #66675

Answer 1

`f(x) = g(-x-1)` which is answer B.

Explanation:

The slope-intercept form of a line is `y = mx + b`, where `m = (Delta y)/( Delta x)` and `b` is the `y`-intercept `(0, b)`

This means that `f(x) = 3x + 4 " and " g(x) = -3x + 1`

`g(-x) = -3(-x) + 1 = 3x + 1`

`f(x) != g(-x) - 3`

`g(-x-1) = -3(-x - 1) + 1 = 3x + 3 + 1 = 3x + 4`

`f(x) = g(-x-1)` which is answer B.