Need to calculate:The value of G(0) for the function G(x)=begin{cases}x-5 if x leq -1x if succ 1 end{cases}

pedzenekO 2021-03-04 Answered
Need to calculate:The value of G(0) for the function G(x)={x5  if x1x if 1
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Expert Answer

izboknil3
Answered 2021-03-05 Author has 99 answers
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)={x5  if x1x if 1
The function provided is defined in multiple equations.
Therefore, to determine G(0) identifyin which equation 0 will lie.
0 lies in the interval x1. Therefore, to determine the value of G(0), G(x)=x will be used.
Substitute x=0 into the equation.
G(x)=x
G(0)=0
Hence, the value of G(0) is 0.
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