Answer:
c=3
Step-by-step explanation:
a+b=c
a is double the value of b, so if a is 2, then b is 1.
2+1=3
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Answer:
-5 < x < 9
Step-by-step explanation:
By Hinge theorem,
"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"
23 > 21
Therefore, 42° > (3x + 15)°
42° - 15° > 3x
27 > 3x
9 > x
And (3x + 15) > 0
3x > -15
x > -5
Therefore, range for x will be,
-5 < x < 9
(1) Vertical asymptote: 
(2) Domain: 
(3) X intercept:
and Y intercept : 
(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.
Explanation:
The parent function is 
The transformed function is 
(1) Vertical asymptote:
The vertical asymptote of a function can be determined by equating

Thus, 
The vertical asymptote is 
(2) Domain:
The domain of a function is the set of all independent x-values.

Thus, 
The domain of a function is 
(3) X and Y intercepts:
To determine the x intercept, let us substitute y=0 in 

Thus, the x intercept is 
To determine the y intercept, let us substitute x=0 in 

Thus, the y intercept is 
(4) To determine the transformation:
The transformed function
is shifted 4 units to the left and shifted 1 unit downwards.
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