Question

Given f(x) = -x + 6, write an equation for f(x + 3).

A. f(x+3) = -x + 3
B. f(x+3) = -x + 9
C. f(x+3) = -x - 1
D. f(x+3) = -x + 1

Answer 1

The equation for f(x + 3) is f(x + 3) = -x + 3.

Step-by-step explanation:

To write an equation for f(x + 3), we substitute x + 3 into the original equation f(x) = -x + 6:

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

Simplifying, we get:

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

f(x + 3) = -x + 3

Therefore, the equation for f(x + 3) is: f(x + 3) = -x + 3.