Question

Math problem is attached, help me solve...

Answer 1

What are the coordinates of the max point of f(x)?

Answer 2

4, but then again, i don't know my teacher never taught this to us.

Answer 3

Then the x - coordinate of the same point?

Answer 4

a = 0
b = 2
c = 0
d = 4

Answer 5

I'm assuming that the max point of f(x) = (2,4)
f(x) = 4 - |2x|
g(x) = 4 - x
f(g(x)) = 4 - |2(4-x)| = 4 - |8 - 2x|
g(f(x)) = 4 - 4 + |2x| = |2x|
f(f(x)) = 4 - |2 (4 - |2x|)| = 4 - |8 - |4x||
g(g(x) = 4 - (4 - x) = x
Just plug in the values for the ans:
f(g(x)) = 4 - |8 - 2x|
g(f(x)) = |2x|
f(f(x)) = 4 - |8 - |4x||
g(g(x) = x