Need to calculate:The value of G(-10) for the function G(x)=begin{cases}x-5 if x leq -1x if succ 1 end{cases}

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,
$G(x)=\{\begin{array}{l}x-5ifx\le -1\\ xif\succ 1\end{array}$
The function provided is defined in multiple equations.
Therefore, to determine $G(-10)$ identifyin which equation $-10$ will lie.
$-10$ lies in the interval $x\le -1$. Therefore, to determine the value of $G(-10)$, $G(x)=x-5$ will be used.
Substitute $x=-10$ into the equation $G(x)=x-5$.
$G(x)=x-5$
$G(-10)=-10-5=-15$
Hence, the value of $G(-10)$ is -15.