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Gnoma [55]
3 years ago
8

F as a function of x is equal to the square root of quantity 6 x plus 9 , f as a function of x is equal to the square root of qu

antity 6 x minus 9
Find (f + g)(x). (5 points)

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Answer:

A. \sqrt{6x+9} +\sqrt{6x-9}

Step-by-step explanation:

We are given the functions f(x) and g(x) as,

f(x)=\sqrt{6x+9}

g(x)=\sqrt{6x-9}

It is required to find the function ( f+g ) i.e. ( f+g ) (x)

So, (f+g)(x)=f(x)+g(x)

i.e. (f+g)(x)=\sqrt{6x+9}+\sqrt{6x-9}

Hence, we get that (f+g)(x)=\sqrt{6x+9}+\sqrt{6x-9}.

So, the first option is correct.

You might be interested in
Write the quadratic function in vertex form.<br><br> y = x2 - 2x + 5
Jlenok [28]
Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical. 

0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h 

To find the y value of the vertex, plug in 1/2 to the equation.

(1/2)^2 - 2(1/2) + 5 = 4.25 = k

y = (x - 0.5)^2 + 4.25
4 0
3 years ago
Read 2 more answers
Sally works as an estimator for​ G&amp;J Electric. She has determined that 550 feet of electrical cable will be needed to wire a
GuDViN [60]

Given :

Initial length of electric cable needed, L=550\ ft.

Later, Sally is told that the homeowner has decide to cut back from a​ three-car garage to a​ two-car garage, which will eliminate two branch​ circuits, one of 23 feet and the other of 34 feet.

To Find :

How many feet of wire will be needed​ now.

Solution :

Wire needed is given by :

Required = Total wire - ( length of 1nd branch + length of 2nd branch )

Required = 550 - ( 23 + 34 )

Required = 550 - ( 57 ) ft

Required = 443 ft

Therefore, length of wire required is 443 ft.

Hence, this is the required solution.

7 0
3 years ago
Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1
shepuryov [24]

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

h(x) =  \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }

h(x) =  \frac{ {(x + 1)}^{2} }{ ({x}  - 1)(x + 1)}

h(x) =  \frac{ (x + 1)(x + 1) }{ ({x}  - 1)(x + 1)}

h(x) =  \frac{ x + 1}{ {x}  - 1}

The vertical asymptote occurs at

{x} - 1 = 0

x = 1

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

y =  \frac{1}{1}

y=1

8 0
3 years ago
I really need help .<br><br> Which line is a linear model for the data?
Triss [41]
The line that is a linear model from the data is line c.

6 0
2 years ago
Under certain conditions the pressure of a gas varies directly with the temperature. When the pressure is 900 psi, the temperatu
Crank

Answer:

180psi

Step-by-step explanation:

Step one:

given data

P1= 900 psi

T1= 350°C

P2=?

T2=70°C

Required

The final pressure P2

<em>Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up</em>

Applying the expression

P1/T1= P2/T2

substitute:

900/350= P2/70

2.57=P2/70

cross multiply

P2= 2.57*70

P2=180psi

8 0
3 years ago
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