Question

For the function g defined by g(x)=70−3x find g(−x),−g(x), and −g(−x).

Answer 1

• g(-x) = 70 +3x
• -g(x) = -70 +3x
• -g(-x) = -70 -3x

Explanation:

Put the minus signs where the problem statement tells you. As with any function, the argument replaces the variable in the function definition. That is, for g(-x), you put (-x) where x is in the definition of the function.

g(-x) = 70 -3(-x) = 70 +3x

-g(x) = -(70 -3x) = -70 +3x

-g(-x) = -(70 -3(-x)) = -70 -3x