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Math  /  Algebra

QuestionQuestion 26 of
Evaluate the piecewise function at the given values of the independent variable. g(x)={x+3 if x≥−3−(x+3) if x<−3g(x)=\left\{\begin{array}{ll} x+3 & \text { if } x \geq-3 \\ -(x+3) & \text { if } x<-3 \end{array}\right. a. g(0)g(0) b. g(−6)g(-6) c. g(−3)g(-3) a. g(0)=g(0)= □\square b. g(−6)=g(-6)= □\square c. g(−3)=g(-3)= □\square

Studdy Solution
Substitute x=−3 x = -3 into the equation g(x)=x+3 g(x) = x + 3 :
g(−3)=−3+3 g(-3) = -3 + 3 g(−3)=0 g(-3) = 0
The evaluated values are:
a. g(0)=3 g(0) = \boxed{3}
b. g(−6)=3 g(-6) = \boxed{3}
c. g(−3)=0 g(-3) = \boxed{0}

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