Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,
This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of ).
Therefore, range of the function will be (-∞, ∞).
Answer:
653.84 lbs.
Step-by-step explanation:
To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.
The x component of the 300 lb force is 300cos(60)=150 lbs.
The y component of the 300 lb force is 300sin(60)= lbs.
The x component of the total force is the sum of the x components of the two forces.
Fx=150+450=600
Fy=259.81
The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.
F=Sqrt(Fx^2+Fy^2)=Sqrt(360000+67501.24)=Sqrt(427501)=653.84 lbs.