The value of g(-4) is 1. The correct option is C
What is a Piece-Wise Function?
A function that has a different sub-function for different intervals of the domain is called Piece-Wise Function
The functions for the different interval is
g(x)= [tex]\rm \sqrt[3]{x+5}[/tex] , x ≤ -4
= -x² +11 , x > -4
The value of g(-4) will be determined by using g(x)= [tex]\rm \sqrt[3]{x+5}[/tex]
Substituting the value x = -4
g(x) = [tex]\rm \sqrt[3]{-4+5}[/tex]
g(x) = ∛1
g(x) = 1
Therefore, The value of g(-4) is 1. The correct option is C
To know more about piece-wise function
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