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

Lipossig

Lipossig

Answered question

2020-11-06

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

Answer & Explanation

Clelioo

Clelioo

Skilled2020-11-07Added 88 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(5) identify in which equation 5 will lie.
5 lies in the interval x5. Therefore, to determine the value of g(5), g(x)=x5 will be used.
Substitute x=0 into the equation g(x)=x5.
g(x)=x5
g(5)=55=0
Hence, the value of g (5) is —0.

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