Answer:
The correct ans is 3.
g(-2) = 2(-2) + 5
=-4 + 5 = 1
f(g(-2)) = 4 - (1)^2
= 4 - 1
=3
Step-by-step explanation:
Answer:
Point A is translated to A" by T(0, -6), since A has been shifted 6 units down
check the picture, the translated triangle is A"'B"'C"'.
clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.
from the choices given, we see that is is a 270° counterclockwise rotation.
Answer: A.(o,-6). Ra,270
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Step-by-step explanation:
Answer:
It costs $15 a month to play the video game.
The initial cost is $45.
The y-variable represents the cost in dollars.
The x-variable represents the number of months.
Step-by-step explanation:
If you break the function down, you're going to have:
<u>Total = Monthly Cost + Initial Cost</u>
In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:
- 15 for the first month (x = 1)
- 30 for the second month (x = 2)
- 45 for the third month (x = 3), and so on
Our initial cost is always going to be a set amount, thus our constant, $45.
This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.
Hope this helps!
Answer:
Infinite Solutions
Step-by-step explanation:
No math required since it is Infinite Solutions. :-)
value of x is: 
Step-by-step explanation:
We need to solve the equation f(x)=g(x)
where 
and 
Solving to find f(x)=g(x)
Putting values of f(x) and g(x)

So, value of x is: 
The graph will be a straight line x= -2.58 or x = -31/12
Keywords: Composition of Functions
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