Step-by-step explanation:
Greetings !
Given expression :-
[tex]h(x) =3 x + 2[/tex]
Goal:-
Find
[tex]h(x + 1)[/tex]
Thus,
plug in x+1 in the first expression as follows;
[tex]h(x + 1) = 3(x + 1) + 2[/tex]
Expand:-
apply distributive law:-
[tex]a(b + c) = ab + ac[/tex]
solve
[tex]3(x + 1) = 3x + 3.1 \\ = 3x + 3 + 2[/tex]
add the numbers:- 3+2 = 5
Finally we get
[tex]h(x + 1) = 3x + 5[/tex]
Hope it helps !!!
