We will determine how to evaluate a function with respect to an input value.
A function is defined as a mathematical relationship between the input and output. Where the function gives the output but depends on the input value. The relationship of a function is defined in terms of the input variable as follows:
[tex]g\text{ ( n ) = 3n - 4}[/tex]The above function g ( n ) depends on the input variable ( n ). The relationship is mathematically expressed in terms of the input variable ( n ).
We are to evaluate the above function g ( n ) for the input value of n = -3. We will simply substitute the value of ( n )-input variable in the expressed relationship as follows:
[tex]\begin{gathered} g\text{ ( -3 ) = 3}\cdot(-3)\text{ - 4} \\ g\text{ ( -3 ) = -9 -4} \\ \textcolor{#FF7968}{g}\text{\textcolor{#FF7968}{ ( -3 ) = -13}} \end{gathered}[/tex]The output value corresponding to the input of the function g ( -3 ) is :
[tex]\textcolor{#FF7968}{-13}[/tex]