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



Answered question


Need to calculate:The value of g(0) from the function g(x)={x5  if x53x  if x>5

Answer & Explanation



Skilled2020-11-17Added 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.
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.
Hence, the value of g(0) is —5.

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