F(x) -2x-6 and g(x)=3x+9 find (f-g)(x)

9514 1404 393

  (f -g)(x) = -5x -15

Step-by-step explanation:

  (f -g)(x) = f(x) -g(x) = (-2x -6) -(3x +9) = -2x -6 -3x -9

  (f -g)(x) = -5x -15

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.