The domain of the composite function is given as follows:
[–3, 6) ∪ (6, ∞)
<h3>What is the composite function of f(x) and g(x)?</h3>
The composite function of f(x) and g(x) is given as follows:
In this problem, the functions are:
.
The composite function is of the given functions f(x) and g(x) is:
The square root has to be non-negative, hence the restriction relative to the square root is found as follows:
The denominator cannot be zero, hence the restriction relative to the denominator is found as follows:
Hence, from the restrictions above, of functions f(x), g(x) and the composite function, the domain is:
[–3, 6) ∪ (6, ∞)
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Answer:
x = 6
Step-by-step explanation:
All triangle angles add up to 180 so:
90 + 5x + 6 + 54 = 180
5x + 150 = 180
5x = 30
x = 6
Answer:
X has to be bigger than 5 and 2 is lower than 5.
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
16 |‾‾‾288‾‾‾
16 goes into 28 once = 1 (as the tens digit = 10)
28-16=12 (remainder)
128/16 =8
10 + 8 = 18
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
