F(x) = 6x + 5
g(x) = 6x - 5
f(g(x)) = 6(6x - 5) + 5 = 36x - 30 + 5 = 36x - 25
g(f(x)) = 6(6x+ 5) - 5 = 36x + 30 - 5 = 36x + 25
f and g are not inverse of each other.
The point with a coordinate of (2,5) will be translated into y=-x line. The transformation for y=-x would be:
1. x'= -y
2. y'= -x
For x=2 and y=5 would be:
x'= -y
x'= -5
y'= -x
y'= -2
The translated coordinate would be: (-5, -2)
I don't know if I am right but I think this is the answer:
If we write beaker with x and content with y
then y=56.8/2=28.4 this is the content of one beaker
so there are two beakers:
2x+28.4=180.4
2x=180.4-28.4
2x=152/2
x=76
We can replace the inequality with qual sign:
2x - y = 4
x + y = -1
We can combine both question
3x = 3
x = 1
Since we know x = 1, we can solve for y by plug in in either equation:
x + y = -1
1 + y =-1
y = -2
or
2x - y = 4
2(1) - y = 4
-y = 2
y = -2
So the solution of this system of equation is the coordinate (1, -2)
