For f(x)=3x+1 and get g(x) =x2-6, find (f-g)(x)

For this case we have the following functions:

We must find

By definition we have to:

So:

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