Question

H(x)= 3x+2

find h(x+1)​

Answer 1

Answer- 3x+5

Explanation:

Greetings !

Given expression :-

`h(x) =3 x + 2`

Goal:-

Find

`h(x + 1)`

Thus,

plug in x+1 in the first expression as follows;

`h(x + 1) = 3(x + 1) + 2`

Expand:-

apply distributive law:-

`a(b + c) = ab + ac`

solve

`3(x + 1) = 3x + 3.1 \\ = 3x + 3 + 2`

add the numbers:- 3+2 = 5

Finally we get

`h(x + 1) = 3x + 5`

Hope it helps !!!