Respuesta :
Answer:
Consider the function : [tex]f(x) = -\frac{2}{3}x +5[/tex] ......[1]
To find the value of [tex]f(\frac{1}{2})[/tex].
We put [tex]x = \frac{1}{2}[/tex] in equation [1] to solve for [tex]f(\frac{1}{2})[/tex].
then;
[tex]f(\frac{1}{2}) = -\frac{2}{3}(\frac{1}{2})+5 = -\frac{1}{3} + 5 = \frac{-1+15}{3} =\frac{14}{3} =4\frac{2}{3}[/tex]
The function [tex]f(\frac{1}{2})[/tex] is the simplified form is, [tex]4\frac{2}{3}[/tex]
If [tex]f(x)=\frac{-2}{3}x+5[/tex], then [tex]f(\frac{1}{2})=4\frac{2}{3}[/tex]
The given function is:
[tex]f(x)=\frac{-2}{3}x+5[/tex]
To find the value of [tex]f(\frac{1}{2} )[/tex], substitute x = 1/2 into [tex]f(x)=\frac{-2}{3}x+5[/tex]
[tex]f(\frac{1}{2})=\frac{-2}{3}(\frac{1}{2})+5[/tex]
By simplifying the expression above we have:
[tex]f(\frac{1}{2})=\frac{-1}{3}+5[/tex]
This will result to:
[tex]f(\frac{1}{2})=\frac{14}{3}[/tex]
In mixed number form:
[tex]f(\frac{1}{2})=4\frac{2}{3}[/tex]
Therefore, if [tex]f(x)=\frac{-2}{3}x+5[/tex], then [tex]f(\frac{1}{2})=4\frac{2}{3}[/tex]
Learn more on functions here: https://brainly.com/question/875118
