What is this supposed to mean?
Answer:
There are no true solutions to the equation
Step-by-step explanation:
The equation is
y+1=√-2y-3
Find y
Square both sides
(y+1)^2=(√-2y-3)^2
y^2+2y+1= -2y-3
y^2+2y+1+2y+3=0
y^2+4y+4=0
Solve quadratic equation by factorisation
we have
(y+2)(y+2)=0
y=-2
Check
y+1=√-2y-3
-2+1=√-2(-2)-3
-1=√4-3
-1=√1
-1=1
This is not true
Answer: interval from -8 to 5
In interval notation, we would write [-8, 5]
The domain is the set of allowed x inputs to a function. The left-most point is (-8,0) so x = -8 is the smallest x value allowed. The largest x value allowed is x = 5 due to the point (5,0) being the right-most point.
The use of square brackets in interval notation says "include this endpoint as part of the interval".