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noname [10]
3 years ago
10

Please Help!! f(x) = square root of x plus 7 ; g(x) = 8x -11 Find f(g(x))

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

I'm not sure if you mean ( \sqrt{x + 7} ) or ( \sqrt{x}  + 7 ) I solved it both ways .

f(x) =  \sqrt{x + 7}  \\  \\ f( \: g(x) \: ) =  \sqrt{(8x - 11)+ 7}  \\  =  \sqrt{8x - 11 + 7}  \\   =  \sqrt{8x - 4}  \\  = 2 \sqrt{2x - 1}

____o_____o______

f(x) =  \sqrt{x}  + 7 \\  \\ f( \: g(x) \: ) =  \sqrt{(8x - 11)}  + 7 \\  =  \sqrt{8x - 11}   + 7\\

I hope I helped you^_^

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A vegetable garden with an area of 200 square feet is to be fertilized. If the length of the garden is 1 foot less than three ti
charle [14.2K]
Ok so I like to go in steps with these questions- first draw a picture and identify your variables.

W=width
L= 3w-1

Now we know that length times width gets us area so we plug in our variables into the area equation.

200 = w(3w-1)

When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0

Either factor that or use the quadratic formula to get
w= 8.33 and w= -8

Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.

Final answer:

w= 8.33ft
l= 23.99ft

*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*
5 0
3 years ago
Read 2 more answers
What is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest
Paul [167]

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

6 0
2 years ago
4x + 6 &lt; -6<br><br> Show steps used to solve the problem :)
Sergeeva-Olga [200]

Answer:

hope it helps you........

7 0
2 years ago
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Find vertex of f(x)=(x+3)(x-5)
astra-53 [7]

The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.

Answer: (1, -16)

Let's do it some other ways.  How about completing the square to turn f in to vertex form?

f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16

and now we can read off (1, -16) as the vertex.

The other method is the vertex is x= - b/2a =  - (-2)/2(1) = 1.

Three methods, same answer. Good.

4 0
3 years ago
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What is the equation of a line that passes through (6,3) and has a slope of -2/3
goldenfox [79]

Answer:

y=mx+b = 3y=6x+-2/3

Step-by-step explanation:

hope this is better

6 0
3 years ago
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