Need to calculate:The value of g(6) from the function g(x)=begin{cases}x-5 if xleq 53x if x>5end{cases}

ediculeN

ediculeN

Answered question

2021-02-08

Need to calculate:The value of g(6) from the function g(x)={x5  if x53x  if x>5

Answer & Explanation

ensojadasH

ensojadasH

Skilled2021-02-09Added 100 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(6) identify in which equation 6 will lie.
6 lies in the interval x>5. Therefore, to determine the value of g(6), g(x)=3 will be used.
Substitute x=10 into the equation g(x)=3x.
g(x)=3x
g(6)=36=18
Hence, the value of g(6) is 18.

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