Answer:
first option
Step-by-step explanation:
To obtain ( f ￮ g)(x) substitute x = g(x) into f(x) , that is
f(
)
= 
( multiply numerator/ denominator by 2x to clear the fraction
= 
= 
(0,-6), (6, -3), and (6,-6)
If you plot them on a graph there are only two point options (in green and purple) since it's a right triangle but you have to use the one that has -6 as the y value
1. A
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.
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2. C
That's right. If a system of equations has a solution, then their graphs intersect, and the point where they intersect is the solution because it's the point that satisfies each equation in the system.
Straight-line graphs with the same slope are parallel lines, and they never intersect, which is another way of saying they have no solution.
4a-9b=22
substitute b=-2
4a -9(-2) = 22
4a +18 =22
subtract 18 from each side
4a = 4
divide by 4
a =1
Choice C
To do these problems, plug in a couple of values into the equations, and see the general shape of the graph. To ensure you were right, check them on an online graphing calculator. I highly recommend Desmos Graphing Calculator. Cheers!
