(a) We use the given g(x) to find the values
g(-1), Here x = -1 which is x<=-2
so we use g(x) = [tex]\frac{1}{4} x - 1[/tex]
Plug in -1 for x
so g(-1) = [tex]\frac{1}{4}(-1) - 1[/tex]= [tex]\frac{-1}{4} - 1[/tex]= [tex]\frac{-5}{4}[/tex]
g(-1) = [tex]\frac{-5}{4}[/tex]
(b) g(1), Here x=1 and it comes under the interval x>=1
so we use g(x) = -2
g(1) = -2
(c) g(4), Here x=4 and it comes under the interval x>=1 because 4 is greater than 1. so we use g(x) = -2
g(4) = -2
