# Need to calculate:The value of G(-1) for the function G(x)=begin{cases}x-5 if x leq -1x if succ 1 end{cases}

Need to calculate:The value of G(-1) for the function
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Formula used:
Some functions are defined by different equations for various parts for their domains. Those functions are called piecewise-defined functions.
To solve the piecewise-defined function for an input, we will determine that which part of the domain it belongs to and use the appropriate formula for that part of the domain.
Calculation:
Consider the provided function,

The function provided is defined in multiple equations.
Therefore, to determine G (-1) identifyin which equation -1 will lie.
-1 lies in the interval $x\le -1$. Therefore, to determine the value of G(-1), $G\left(x\right)=x-5$ will be used.
Substitute $x=-1$ into the equation $G\left(x\right)=x-5$.
$G\left(x\right)=x-5$
$G\left(-1\right)=-1-5=-6$
Hence, the value of G(-1) is -6.