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Veseljchak [2.6K]
3 years ago
9

Let f(x) =4x-1 and g(x) = 2x^2 + 3 (fg)(x) , f/g(x), g/f(x)

Mathematics
1 answer:
sveta [45]3 years ago
6 0
F(x) = 4x - 1
g(x) - 2x² + 3

<u>(f · g)(x)</u>
(f · g)(x) = (4x - 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) - 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) - 1(2x²) - 1(3)
(f · g)(x) = 8x³ + 12x - 2x² - 3

<u>(f/g)(x)</u>
(f/g)(x) = <u>4x - 1</u>
             2x² + 3

<u>(g/f)(x)</u>
(g/f)(x) = <u>2x² + 3</u>
               4x - 1
(g/f)(x)= ¹/₂x + ¹/₈ + <u> 3¹/₈ </u>
                              4x - 1
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area = 18x² + 63x + 55 square units

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3 years ago
The perimeter of a rectangular swimming pool is 446 centimeters. The width of the pool is 7 centimeters less than the length of
VLD [36.1K]

Answer:

length = 115 cm

width = 108 cm

Step-by-step explanation:

The perimeter of a rectangular swimming pool is 446 centimeters

LEt L be the length of the pool

The width of the pool is 7 centimeters less than the length of the pool.

width = length - 7

W= L-7

Given perimeter = 446

Perimeter of rectangle = 2(length)+2(width)

446 = 2(L) + 2(W)                    we know W = L-7

446 = 2(L) + 2(L-7)    

446 = 2L + 2L - 14

Add 14 on both sides

460 = 4L

divide by 4 on both sides

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Length L= 115

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5 0
3 years ago
Read 2 more answers
If 100 percent is 480 what is 10 percent?
LenaWriter [7]

Answer:

48

Step-by-step explanation:

10% of 480 = 10/100 × 480

= 48

7 0
2 years ago
413 divided by 14 <br> How do you it?
guajiro [1.7K]
You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413

Hope this helps :)
5 0
3 years ago
Read 2 more answers
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