Question

1) g(n)= 3n - 4; Find g(-3)

Answer 1

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:

`g\text{ ( n ) = 3n - 4}`

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:

`\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}`

The output value corresponding to the input of the function g ( -3 ) is :

`\textcolor{#FF7968}{-13}`