Question

Evaluate the functionV12 - 2x- 5 when I- 2

Answer 1

We will determine the value output of a function for an input value.

The given function is given as:

`\begin{gathered} \textcolor{#FF7968}{V}\text{\textcolor{#FF7968}{ ( x ) = 12 - 2x - 5}} \\ \end{gathered}`

The function is defined in terms of an input value ( x ). The function gives us an output for every defined set of values ( domain ).

We will evaluate the function given for a value of input:

`\textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = -2}}`

To evalaute any function for any defined input value is substituting the respective value into input variable ( x ) in the function relationship as follows:

`\begin{gathered} V\text{ ( - 2 ) = 12 - 2}\cdot\text{ ( -2 ) - 5} \\ V\text{ ( -2 ) = 12 + 4 - 5} \\ \textcolor{#FF7968}{V}\text{\textcolor{#FF7968}{ ( -2 ) = 11}} \end{gathered}`

Hence, the evaluated output of the function at ( x = -2 ) is:

`\textcolor{#FF7968}{11}`