y-3-(-12)≥0
y ≥ -9
y + 9.000 ≥ 0
y ≥ -9
I hope this helps!
Answer:
I attached a pic
Step-by-step explanation:
Hope it helps you!!!
The domain of g alone is {x | x ≠ 0}, and the domain of f is all reals. So the domain of (f ◦ g) is the domain of g
{x | x ≠ 0}.
(f ◦ g)(x) = 1/x + 3.
The range of g(x) = 1/x is actually the same as its domain {y | y ≠ 0}. Adding three, the range of f ◦ g is all reals except for 3,
{y | y ≠ 3}
The line y = 3 is actually an asymptote (horizontal) to the graph of f ◦ g.
Answer:
B (2, 4)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the constant of proportionality k is given and is equal to

so
The linear equation is given by

That means ----> the y-coordinate is two times the x-coordinate
therefore
The other point is B(2.4)
Because
For x=2, y=4
the y-coordinate is two times the x-coordinate

So this can be solve by establish two equation:
let x be age of montell
y be tha age of her mom
for the first equation (<span>Montell is 30 years)</span>:
x = y - 30
second equation ( in 5 years )
x + 5 = ( y + 5 ) ( 1/3)
solving the equation simultaneously
x = 10 years old
y = 40 years old