Given the function f(x)=2x-3, find the function g(x)=f(x+1)+f(x-1)?

we are dealing with functions, linear functions to be
specific, so you need to know that f(x) = f(x+1) according to the
q.

so we'll go like
this;

f(x+1) = 2x + 2 - 3 (since the function is 2x -3
)

f(x+1) = 2x - 1 x
1

f(x-1) = 2x - 2 -
3

f(x-1) = 2x - 5
x2

so we're gonna add up funtion (1) &
(2)

g(x) = 2x - 1 + 2x - 5 (which give the following
below)

g(x) = 4x -
6