Answer:
Option (A)
Step-by-step explanation:
The given absolute function is,
f(x) = |-4x + 36|
If the given function f(x) ≥ 0,
(-4x + 36) ≥ 0
4x ≤ 36
x ≤ 9
If the given function f(x) < 0,
(-4x + 36) < 0
4x > 36
x > 9
Therefore, piecewise function that defines the absolute function will be,
f(x) = 4x - 36 if x ≤ 9
-4x + 36 if x > 9
Option (A) will be the correct option.
(f + g)(x) = f(x) + g(x) = x² -3x -4+x² +x= 2x² -2x -4
9 - 3x > 2(x - 3)
9 - 3x > 2x - 6
Subtract 2x from both sides.
9 -5x > -6
Subtract 9 from both sides.
-5x > -15
Divide both sides by-5.
x < 3
Answer:
All that's necessary is to add 4 to both sides of the equation. This gives
... y = 1/2(x -8) +4
If you like, you can simplify this by eliminating the parentheses and collecting terms.
... y = 1/2·x -4 +4
... y = (1/2)x
Step-by-step explanation:
