Respuesta :

h(j(2)) = h(-2*2) = h(-4) = (5*-4) - 3 = -20 - 3 = -23

Answer:

Option 4 - [tex]h[j(2)]=-23[/tex]

Step-by-step explanation:

Given : If [tex]h(x)=5x-3[/tex] and [tex]j(x)=-2x[/tex]

To find : Solve h[j(2)] ?

Solution :

First we find h[j(x)],

[tex]h[j(x)]=h[-2x][/tex]

[tex]h[j(x)]=5(-2x)-3[/tex]

[tex]h[j(x)]=-10x-3[/tex]

Now substitute x=2,

[tex]h[j(2)]=-10(2)-3[/tex]

[tex]h[j(2)]=-20-3[/tex]

[tex]h[j(2)]=-23[/tex]

Therefore, Option 4 is correct.