It is known that the function f (x) is a first-order function and satisfies the formula 3f (x + 1) - 2F (x-1) = 2x + 17 to find the expression of F (x)

It is known that the function f (x) is a first-order function and satisfies the formula 3f (x + 1) - 2F (x-1) = 2x + 17 to find the expression of F (x)

Let f (x) = KX + B
So 3 [K (x + 1) + b] - 2 [K (x-1) + b] = 2x + 17
KX + 5K + B = 2x + 17
According to the coefficient, KX = 2x, 5K + B = 17
So k = 2, B = 7
That is, f (x) = 2x + 7