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}

Khaleesi Herbert 2021-02-11 Answered
Need to calculate:The value of G(-1) for the function G(x)={x5  if x1x if 1
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Expert Answer

brawnyN
Answered 2021-02-12 Author has 91 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 (-1) identifyin which equation -1 will lie.
-1 lies in the interval x1. Therefore, to determine the value of G(-1), G(x)=x5 will be used.
Substitute x=1 into the equation G(x)=x5.
G(x)=x5
G(1)=15=6
Hence, the value of G(-1) is -6.

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