Respuesta :

Answer:

The correct answer option is: 4.

Step-by-step explanation:

We are given the following two functions and we are to find the value of [tex] ( f - g ) ( 5 ) [/tex]:

[tex]f(x) = x^2 - 5[/tex]

[tex]g(x) = 4x - 4[/tex]

Finding [tex] ( f - g ) ( x ) [/tex]:

[tex] ( f - g ) ( x ) [/tex] [tex]= (x^2-5)-(4x-4) = x^2-4x-5+4[/tex]

[tex]( f - g ) ( x ) = x^2-4x-1[/tex]

So, [tex]( f - g ) ( 5 ) = (5)^2-4(5)-1 = 4[/tex]

Answer:

4

Step-by-step explanation:

f(x) = x^2 - 5

g(x) = 4x - 4

(f-g) (x)= x^2 - 5   - (4x - 4)

Distribute the minus sign

           = x^2 - 5   - 4x + 4

          = x^2 -4x-1

Let x = 5

(f-g) (5) = 5^2 -4(5) -1

            =25 - 20 -1

             =5-1

              =4

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