Respuesta :

Answer:

22

Step-by-step explanation:

f(x)=(3x+4)-(2-x)

Let x =5

f(5)=(3*5+4)-(2-5)

     Do the parentheses first

    = (15+4) - (2-5)

     = 19-(-3)

     = 19+3

    = 22

For this case we have a function of the form [tex]y = f (x)[/tex], where:

[tex]f (x) = (3x + 4) - (2-x)[/tex]

Simplifying, taking into account that [tex]- * + = -[/tex]and [tex]- * - = +[/tex], we have:

[tex]f (x) = 3x + 4-2 + x[/tex]

We add similar terms:

[tex]f (x) = 4x + 2[/tex]

Now we evaluate the function at [tex]x = 5[/tex]:

[tex]f (5) = 4 (5) +2\\f (5) = 20 + 2\\f (5) = 22[/tex]

Answer:

[tex]f (5) = 22[/tex]