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lions [1.4K]
3 years ago
11

If f(x)=4x^2 and g(x)=x+1, find (fog)(x)

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0

Answer: The value of (f_\circ g)(x)  is  4(x+1)^2  .

Step-by-step explanation:

Given: f(x) = 4x^2 \text { and } g(x) = x+1

To find: (f_\circ g)(x)

As we know it is composition function which means that  g(x) function is in f(x) function.

So we have

(f_\circ g) (x) =  f[g(x)]

\Rightarrow( f_\circ g)(x)= f(g(x)) = 4(g(x))^2

Now substitute the value of g(x) we get

(f_\circ g)(x)= 4(x+1)^2

Hence, the value of (f_\circ g)(x)  is  4(x+1)^2  .

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the dimensions of kaly's new cell phone are 6 inches by 8 inches. her phone cost 30 per square inch how much did kayla pay for t
Ostrovityanka [42]

Answer:

1440

Step-by-step explanation:

6 x 8 = 48

48 x 30 = 1440

7 0
2 years ago
A cylindrical can contains an unknown number of golf balls. The can has a height of 10 inches and a volume of 15.625 Pi inches c
AlladinOne [14]

20 golf balls can fit in the can.

<u>Step-by-step explanation:</u>

Given:

Height (h) = 10 Inches

Volume of 15.625 Pi inches cube.

To Find:

How many balls can be filled in that can.

Solution:

Diameter of the golf ball [as per standard value] = 1.68 in

Radius of the golf ball = \frac{1.68}{2}  = 0.84 in

Volume of the golf ball = \frac{4\pi r^3}{3}

                                      = \frac{4\pi (0.84)^3}{3}

                                       = 2.5  (or)   0.79 \pi inches

Volume of the can = 15.625\pi  in^3

Now we have to divide the volume of the can by the volume of the golf ball, we will get =  \frac{15.625 \pi }{0.79\pi } = 19.7 balls

Thus we can conclude that approximately 20 balls can be filled in that can.

7 0
3 years ago
6x−4=2(3x−2)
sashaice [31]

Answer:

0=0

Step-by-step explanation:

5 0
3 years ago
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Constance's car has a 12-gallon gas
antiseptic1488 [7]

Answer:

7.5 hours

Step-by-step explanation:

Constance's car has a 12-gallon gas tank.

She can travel 25 miles on one gallon of gas, so she can travel

25\cdot 12=300 miles using all gas from the tank.

Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour.

So, Constance can drive for

300 : 40=7.5 hours.

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3 years ago
Mary has $267 in her checking account. She writes checks for $33, $65, and $112. What is the balance in her account now?
nata0808 [166]

Answer:

267 - 112 - 65 - 33 = $57

Step-by-step explanation:

subtract to get the answer

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3 years ago
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