Question 1051045: f(x) is an even function.
Determine if g(x)=-f(x)+1 is an even, odd or neither
1
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! f(x) is an even function.
Determine if g(x)=-f(x)+1 is an even, odd or neither
----
If f(x) is even, f(x) = f(-x)
-----------------------------------
Examine g(x) = -f(x)+1
g(-x) = -f(-x)+1 = -f(x)+1
-g(-x) = f(x)-1
------
Note:: g(-x) = g(x), so g(x) is even
-----------------------------------
Cheers,
Stan H.
-------------------------
|
|
|
