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:
x = 26
Step-by-step explanation:
Supplementary angles mean that when the two angles are added together, they add up to 180. With this info, we can set the two expressions equal to 180
124 + (2x + 4) = 180.
128 + 2x = 180 combine like terms
2x = 52 subtract both sides by 128
x = 26. divide both sides by 2
Answer:
25
Step-by-step explanation:
40+76+84 = 200.
200 ÷ 8 = 25
Answer: 25.
Step-by-step explanation:
C. y= -5x + 27
D. y=2x - 15
thats all
Answer:
y-intercept: (0, -2)
Step-by-step explanation:
Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1): The change in x is 7 and that in y is also 7. Thus, the slope is
m = 7/7, or m = 1.
Using the point-slope form and the point (3, 1), we get:
y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2
Comparing this to y = mx + b, we see that the y-intercept is -2.
