Evaluate the function gx x 1 3 g3 g3 gx 1SolutionGiven g

Evaluate the function g(x) = |x - 1| + 3 g(3) g(-3) g(x - 1)

Solution

Given g(x) = |x-1| + 3

a) Finding g(3):

Substitute x = 3 in g(x).

g(x) = |x-1| + 3

g(3) = |3-1| + 3

= |2| + 3

= 2 + 3

= 5

Therefore, g(3) = 5

b) Finding g(-3):

Substitute x = -3 in g(x).

g(x) = |x-1| + 3

g(-3) = |-3-1| + 3

= |-4| + 3

= -4 + 3

= -1

Therefore, g(-3) = -1

c)Finding g(x-1):

Substitute x = x-1 in g(x).

g(x) = |x-1| + 3

g(x-1) = |(x-1)-1| + 3

= |x-1-1| + 3

= |x-2| + 3

Therefore, g(x-1) =  |x-2| + 3