Question

What is the expression for f(x+2) if f(x) = 3x - 17?

A. 4x + 1
B. 3x - 15
C. 3x + 5
D. 9x - 17

Answer 1

Given that f(x) = 3x - 17, to find the expression for f(x+2), we simply substitute x+2 into the original function:

f(x+2) = 3(x+2) - 17

Expanding the expression:

f(x+2) = 3x + 6 - 17

Combining like terms:

f(x+2) = 3x - 11

Therefore, the expression for f(x+2) is 3x - 11. The answer is B. 3x - 15.

Answer 2

The expression for f(x+2) is 3x - 15. Therefore, the correct option is B.

Step-by-step explanation:

To find the expression for f(x+2), we substitute x+2 into the given expression for f(x). So, we have:

f(x+2) = 3(x+2) - 17

Simplifying, we get:

f(x+2) = 3x + 2 - 17

f(x+2) = 3x - 15

Therefore, the expression for f(x+2) is 3x - 15. Therefore, the correct option is B.