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kipiarov [429]
4 years ago
8

What is (f⋅g)(x)?

Mathematics
1 answer:
Alik [6]4 years ago
8 0

Answer:

The answer to your question is      f(g(x)) = x⁸ + 8x⁴ + 9

Step-by-step explanation:

Data

f(x) = x² + 2x - 6

g(x) = x⁴ + 3

(fg)(x)

Process

1.- Substitute g(x) in f(x)

    f(g(x)) = (x⁴ + 3)² + 2(x⁴ + 3) - 6

2.- Simplify

    f(g(x)) = x⁸ + 6x⁴ + 9 + 2x⁴ + 6 - 6

3.- Result

    f(g(x)) = x⁸ + 8x⁴ + 9

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A sqware has an area of 49 sqware feet. A rectangle has an area of 24 sqware feet its lanth is 2 feet longer than its width witc
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

If the square has an area of 49 ft^2, then the length of one of its sides is

s = √(49 ft^2) = 7 ft, and its perimeter is P = 4(7 ft) = 28 ft.

As for the rectangle:  let W and L represent the width and length, respectively.  Then W*L = 24 ft^2 is the area.  L = W + 2 ft.  Therefore,

W(W + 2) = 24, or W^2 + 2W - 24 = 0, or (W +6)(W - 4) = 0.  Thus, W = 4 ft.

The perimeter of this rectangle is P = 2W + 2L, or

P = 2(4 ft) + 2(6 ft) = 24 ft.

The square has the larger perimeter:  It is 28 ft.

8 0
4 years ago
Which of the following is equal to7 1/4?
Ivenika [448]

Answer:

B. \sqrt[4]{7}

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5 0
3 years ago
Read 2 more answers
There were 196 students that participated in a clean-up event at a nearby lake. this is one fourth of the entire student populat
Norma-Jean [14]
Hello there.

<span>There were 196 students that participated in a clean-up event at a nearby lake. this is one fourth of the entire student population. write and solve an equation to find the number of students at this school.

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4 years ago
Use the Distributive Property to simplify the expression.<br> 8(5g+5−2)=
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Step-by-step explanation:

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3 years ago
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Point A is the incenter of ΔDEF. What is the length of NA?
azamat
LA = NA = MA

5x - 1 = 6x - 3

-x = -2

x = 2

LA = 5x - 1

LA = 5(2) - 1 = 9

NA = 9
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4 years ago
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