Respuesta :

Answer:

Option 1

Step-by-step explanation:

In order to find the value of the function at x=6, we have to replace x by 6 in the given function.

[tex]f(x)=\frac{3}{2}x -\frac{1}{2}[/tex]

Replacing(Substituting) x = 6 in above equation we get:

[tex]f(6)=\frac{3}{2} (6) -\frac{1}{2}\\\\f(6)=9-\frac{1}{2}\\\\ f(6)=\frac{18}{2}-\frac{1}{2}\\\\ f(6)=\frac{17}{2}\\\\ f(6)=8\frac{1}{2}[/tex]

Thus, 1st option gives the correct answer.

Answer:

The correct answer is option 1

8 1/2

Step-by-step explanation:

It is given that,

f(x) = 3x/2 - 1/2

We have to find f(x) when x = 6

To find the value of f(6)

we have, f(x) = 3x/2 - 1/2

when x = 6

f(x) = f(6)

f(6) = (3 * 6)/2 - 1/2

 = 18/2 - 1/2

 = (18 - 1)/2 = 17/2

 = 8 1/2

Therefore the correct answer is first option