Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:
Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For 
to be defined:
Therefore, 
and 
⇒ [-5, 4) ∪ (4, ∞)
Answer:
y axis then translate x+1,y+1
Answer:
999
Step-by-step explanation:
Answer:
782 in
Step-by-step explanation:
To find the length of fence, we have to find the perimeter first.
Given
Length = l = 25 feet 8 in
Width = w = 8 feet 8 in
Opening = o =3 feet 6 in
So,
we have to convert the lengths into same unit first
So,
l = (25*12)+8 = 308 in
w = ( 8*12) +8 = 104 in
O = (12*3) + 6 = 42 in
Perimeter = 2(l+w)
= 2(308+104)
=2(412)
=824
As the opening does not need fencing
Total fence = P - o
= 824 - 42
=782 in
or
65 feet 2 in ..
Answer:
Hypotenuse = 10 Cm
Step-by-step explanation:
Given:
θ = 60°
Base = 5 cm
Hypotenuse = x cm
Find:
Hypotenuse
Computation:
Cos θ = Base / Hypotenuse
Cos 60° = 5 / Hypotenuse
0.5 = 5 / Hypotenuse
Hypotenuse = 10 Cm
