Question

Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g?

A. g(x) = 6x + 1
B. g(x) = 6x − 1
C. g(x) = 8x + 15
D. g(x) = 8x − 15

Answer 1

Answer: Option D.

Step-by-step explanation:

You have the following function $f(x)$:

$f(x) =8x + 1$

According to the information provided in the exercise, the function $g(x)$ is:

$g(x) = f(x - 2)$

You can follow these steps in order to find $g(x)$:

1. First, let's find $f(x-2)$. This is:

$f(x-2) =8(x-2) + 1\\\\f(x-2) =8x-16 + 1\\\\f(x-2) =8x-15$

2. Therefore, you since $g(x) = f(x - 2)$, then $g(x)$ is:

$g(x) =8x-15$

Notice that this matches with Option D.