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

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asked Nov 18, 2024 234k views

1 Answer

Curtiss · Answer 1 · 2024-11-23T07:04:45+0000

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

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.