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sweet [91]
1 year ago
6

If f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 and g(x)=x^2+7g(x)=x

Mathematics
1 answer:
nadya68 [22]1 year ago
8 0

The value of the composite function f(g(x)) is 2x^2 + 15

<h3>How to evaluate the composite function f(g(x))?</h3>

The functions are given as:

f(x) = 2x + 1

g(x) = x^2 + 7

We have the function f(x) to be

f(x) = 2x + 1

Substitute g(x) for x in the equation f(x) = 2x + 1

So, we have

f(g(x)) = 2g(x) + 1

Substitute g(x) = x^2 + 7  in the equation f(g(x)) = 2x + 1

f(g(x)) = 2(x^2 + 7) + 1

Open the brackets

f(g(x)) = 2x^2 + 14 + 1

Evaluate the sum

f(g(x)) = 2x^2 + 15

Hence, the value of the composite function f(g(x)) is 2x^2 + 15

Read more about composite function at

brainly.com/question/10687170

#SPJ1

<u>Complete question</u>

if f(x) = 2x + 1 and g(x) = x^2 + 7

which of the following is equal to f(g(x))

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Answer:

201.06 square inches.

Step-by-step explanation:

The equation to use to find the Area of a circle is given as

πr²

Where r = radius of the circle

In the question, we are given the radius of the circle = 8 inches

Area of the circle = π × 8²

= 201.06 square inches.

4 0
3 years ago
What is 7/45 simplified
Akimi4 [234]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
I am confused about 11.
babunello [35]
-90.1 is the answer.
7 0
3 years ago
A cylinder with a radius of 12cm and a height of 20cm has the same volume as a cone with a radius of 8cm. What is the height of
ivanzaharov [21]

Answer: 135cm

Step-by-step explanation

Volume of a cylinder = πr²h

Volume of a cone. = 1/3πr²h

The two shapes are both solid shapes.

Since the have same volume, we can then equate the two together and solve for the height of the cone.

Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.

Now equating the two

πR²H = 1/3πr²h

Now substitute for the values now

Multiply through by 3

3πR²H = πr²h

But π is common so it could be obliterated from the equation

3R²H = r²h

3 x 12² x 20 = 8² x h

3 x 144 x 20 = 64 x h

60 x 144 = 64h

8640. = 64h

Therefore

h = 8640/64

= 135cm

8 0
3 years ago
Monique drew a square and inscribed circle on a sheet of paper, as shown below
Irina-Kira [14]
If you know the area of the square is 256 and the area of the circle is 200.96 you subtract 200.96 from 256 and you get 55.04 is the area of the square that is not covered by the circle. so 55.04/256  because that will give you the percent of the area that is outside that circle but inside the square and you get .215 or 21.50%
4 0
3 years ago
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