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, ∞)
Answers:
14 + 18 ÷ 2 x 18 – 7 = 169
- 14 + 9 * 18 - 7
- 14 + 162 - 7
- 169
60 – 9 x 8 ÷ 8 x 6 = 6
- 60 - 72 / 8 * 6
- 60 + -216/4
- 60 - 54
- 6
15 x 10 + 12 ÷ 3 + 9 = 163
- 150 + 12 / 3 + 9
- 150 + 4 + 9
- 163
(10 ÷ 5)3 + 100 – 9 x 11 = 7
- 2 * 3 + 100 - 9 * 11
- 6 + 100 - 99
- 7
8 x 4 + 9 – 9 + 18 = 50
- 32 + 9 - 9 + 18
- 41 - 9 + 18
- 32 + 18
- 50
3 x 8 x 2 – 42 + 5 = 11
- 24 * 2 - 42 + 5
- 48 - 42 + 5
- 11
<em>i hope this helps, good luck :)</em>
Answer: $11.80 for another 4 panes of glass.
Step-by-step explanation: We know that 9 panes of glass cost $26.55, but we should first find how many dollars would it cost per pane of glass, or 1.
So, we can divide 26.55 by 9 to find the price per 1 pan of glass.
26.55/9 = 2.95, or $2.95 per pane of glass.
Now, we want to know how much it will cost for 4 panes of glass. Simply multiply 2.95 by 4.
2.95 x 4 = 11.8, or $11.80 for another 4 panes of glass.
Answer:
slope is the rate at which a function progresses. y intercept a point that passes through they x axis when it is 0. ex) (0,9)
equation written as y=ax +b
b = y intercept
ax = slope
ax = y2-y1/x2-x1
take 2 random points
(0,3) (-2,0)
slope : 0-3/-2=0 = -3/-2 = 3/2
y intercept = 3 because x = 0 and y =3
<u>equation = y =3/2x + 3</u>
Step-by-step explanation:
