Respuesta :

nnn6nnn
I believe you mean "find f(g(x))"
g(x) is defined as 3x
Now the problem is simplified to f(3x)
Next, plug in 3x into the f(x) equation
4(3x)-5
12x-5
f(g(x)) = 12x-5

Answer:

[tex](fg)(x)= 12x^2- 15x[/tex]

Step-by-step explanation:

[tex]f(x)= 4x-5[/tex]

[tex]g(x)= 3x[/tex]

Fidn (fg)(x) = f(x) times g(x)

WE multiply f(x) and g(x)

[tex](fg)(x)= f(x) \cdot g(x)= (4x-5)(3x)[/tex]

Multiply 3x inside the parenthesis

[tex](fg)(x)= f(x) \cdot g(x)= (4x-5)(3x)=12x^2-15x[/tex]

So [tex](fg)(x)= 12x^2- 15x[/tex]