Question

Given the function f(x)=−x+2, what is f(x)+3 as a simplified polynomial?

a) −x+5
b) −x−1
c) −x+3
d) −x+2

Answer 1

To find f(x) + 3, we add the constant 3 to the function f(x) = −x + 2, resulting in the simplified polynomial −x + 5.

Step-by-step explanation:

The given function is f(x)=−x+2. We need to find the simplified form of f(x)+3. To simplify this expression, we add the constant terms from the function and the additional constant given:

f(x) + 3 = (−x + 2) + 3

Combine the like terms (the constants 2 and 3):

−x + 2 + 3 = −x + (2 + 3)

−x + 5

So, the simplified polynomial expression for f(x) + 3 is −x + 5, which corresponds to option a).