snowlovelydayM

2020-11-16

Need to calculate:The value of g(0) from the function

### Answer & Explanation

lobeflepnoumni

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(0) identify in which equation 0 will lie.
It lies in the interval $x\le 5$. Therefore, to determine the value of g(0), $g\left(x\right)=x—5$ will be used.
Substitute $x=0$ into the equation $g\left(x\right)=x—5$.
$g\left(x\right)=x-5$
$g\left(0\right)=0-5=-5$
Hence, the value of g(0) is —5.

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