Answer:
[tex]f(-2)=14[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=-3x+8[/tex]
To find [tex]f(-2)[/tex]
For the given linear function the [tex]x[/tex] value represents the input values of the function or the domain of the function while [tex]f(x)[/tex] represents the output values or the range of the function and is often refereed to as the [tex]y[/tex] values of the function.
In order to find [tex]f(-2)[/tex] we will plugin -2 in place of [tex]x[/tex] in the function and evaluate it. It means our input value =-2 and we need to calculate the output value.
Thus,
[tex]f(-2)=-3(-2)+8[/tex]
[tex]f(-2)=6+8[/tex] [ Product of two negative numbers is a positive number]
∴ [tex]f(-2)=14[/tex] (Answer)