Provide a linear function such as f(1-x)=3x+2?

We'll recall which is the standard form of a linear
function;

f(x) = ax + b

To
determine the linear function, we'll have to identify the coefficients a and
b.

Since we know the result of f(1-x), we'll replace x by
(1-x) in the standard form:

f(1-x) = a(1-x) +
b

f(1-x) = a - ax + b (1)

But,
from enunciation, we know that f(1-x) = 3x+2 (2)

We'll
equate (1) and (2) and we'll get:

-ax + a + b = 3x +
2

Comparing, we'll get:

-a = 3
=> a = -3

a + b = 2 <=> -3 + b = 2
=> b = 5

The requested linear function
is f(x) = -3x + 5.