SOLUTION: Evaluate the piecewise function at the given value of the independent variable.
x^2+5/x+3 if x#-3
g(x)={ ,g(-5)
x-7 if x=-3
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Question 1086543: Evaluate the piecewise function at the given value of the independent variable.
x^2+5/x+3 if x#-3
g(x)={ ,g(-5)
x-7 if x=-3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Piecewise function
The piecewise function has two pieces. In other words, two rules which are
Rule1: if
Rule2: if
The g(x) function depends on the x value. If x is not equal to -3, then we go with Rule1. If x does equal -3, then we go with Rule2.
------------------------------------------------
g(-5) indicates that the input is x = -5
Because x = -5, which is not -3, this means we go with Rule1 above.
Plug x = -5 into the equation for Rule1.
Note how every x is replaced with -5
Answer: -15
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