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kkurt [141]
3 years ago
15

G(x) = sqr root of x+3 What is the domain of g?

Mathematics
2 answers:
beks73 [17]3 years ago
6 0

Answer:

all \: real \: numbers \: except \:  \\ x  + 3 < 0 \\  \:  \:  \:  \: x <  - 3

maria [59]3 years ago
5 0

Answer:

X is the domain and sqr root of X+3 is the range.

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Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva
Mrac [35]
Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let h the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
tan \alpha = \frac{opposite.side}{adjacent.side}
tan(40)= \frac{h}{3}
h=3tan(40)
h=2.5miles

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is h=3tan(40).

4 0
3 years ago
If one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k
Lana71 [14]

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c  you have : x1 = 1 /x2  means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8  and b = -13  and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8        k = 8/-4      k = -2  

this polynomial is : 8x²-13x +8

6 0
2 years ago
4. În triunghiul dreptunghic ABC, m(
Pachacha [2.7K]
Write the question correctly please
3 0
3 years ago
What is the domain of y= log_4(x+3)? all real numbers less than -3 all real numbers greater than –3 all real numbers less than 3
antiseptic1488 [7]

Step-by-step answer:

The domain of log functions (any legitimate base) requires that the argument evaluates to a positive real number.

For example, the domain of log(4x) will remain positive when x>0.

The domain of log_4(x+3) requires that x+3 >0, i.e. x>-3.

Finally, the domain of log_2(x-3) is such that x-3>0, or x>3.

7 0
3 years ago
Select the correct answer
solong [7]

Answer: OPTION C.

Step-by-step explanation:

Given the functions:

f(x)=2x^2-x-6\\\\g(x)=x^2-4

We need to divide f(x) by g(x) in order to find f(x)÷g(x). Then:

f(x)÷g(x)=\frac{2x^2-x-6}{x^2-4}

Factorizing and simplifying, we get:

f(x)÷g(x)=\frac{(2x+3)(x-2)}{(x+2)(x-2)}

f(x)÷g(x)=\frac{2x+3}{x+2} 

3 0
2 years ago
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