Answer:
f(x) = 2+5
g(x) = 2(-(x−3))+5
Step-by-step explanation:
If you remember, an absolute value can have two different answer, a positive and negative answer because the absolute value symbol makes all values in it positive. Example: |-2|=2 and |2|=2
So if y = 2|x−3|+5
then the two possibilities are
y = 2(x−3)+5 and
y = 2(-)+5
Set one of them equal to f(x) and the other one to g(x)
f(x) = 2(x−3)+5
g(x) = 2(-(x−3))+5
You can also write it as a piecewise function.
[tex]y(x)=$\begin{array}{cc} \{ & \begin{array}{cc} -(x-3) & x<3 \\ 0 & x=3 \\ (x-3) &x>3 \end{array}\end{array}$[/tex]
