Find f +g, f – 9, fg and. Determine the domain for each function.
f(x) = 3x – 4, g(x) = x + 2

Step-by-step explanation:

f(x) = 3x - 4

g(x) = x + 2

(f + g) = f(x) + g(x)

         = 3x - 4 + x + 2

         = 4x - 2

Domain: All real numbers

(f - g) = f(x) - g(x)

        = 3x - 4 - (x + 2)

        = 3x -4 -x -2

        = 2x -6

Domain: All real numbers

(fg) = f(x) * g(x)

     = (3x - 4)(x + 2)

     = 3x^2 + 6x -4x -8

     = 3x^ 2 + 2x - 8

Domain: All real numbers

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5