Respuesta :

Answer:

f(g(x)) = 2x - 5

Step-by-step explanation:

If f(x) = 2x + 1 and g(x) = x - 3

Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)

f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5

Answer:

[tex]\huge \boxed{f(g(x))=2x+-5}[/tex]

Step-by-step explanation:

The functions are given,

[tex]f(x)=2x+1[/tex]

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

To find [tex]f(g(x))[/tex], the input for the function f of x will be g of x.

[tex]f(g(x))=2(x-3)+1[/tex]

Expand brackets.

[tex]f(g(x))=2x-6+1[/tex]

Combine like terms.

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