Final answer:
To find g(x + 1), substitute x + 1 for x in the function g(x). You would replace every instance of x in g(x) = 3x - 2 with x + 1, and simplify to get g(x + 1) = 3x + 1.
Step-by-step explanation:
To find g(x + 1), you substitute x + 1 for x in the function g(x) = 3x - 2. This means wherever you see x in the original function, you replace it with x + 1.
Step by step explanation:
- Take the original function g(x) = 3x - 2.
- Replace every x with x + 1, resulting in g(x + 1) = 3(x + 1) - 2.
- Simplify the expression: g(x + 1) = 3x + 3 - 2 = 3x + 1.
This results in the new function g(x + 1) which can be used for further calculations involving the function g evaluated at x + 1.