Need to calculate:The value of g(0) from the function g(x)=begin{cases}x-5 if xleq 53x if x>5end{cases}

snowlovelydayM 2020-11-16 Answered
Need to calculate:The value of g(0) from the function g(x)={x5  if x53x  if x>5
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Expert Answer

lobeflepnoumni
Answered 2020-11-17 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 x53x  if x>5
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 x5. Therefore, to determine the value of g(0), g(x)=x5 will be used.
Substitute x=0 into the equation g(x)=x5.
g(x)=x5
g(0)=05=5
Hence, the value of g(0) is —5.
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