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HACTEHA [7]
3 years ago
14

If f(x)=5x^3 and g(x)=x+1 find (fxg)(x)

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
(f o g)(x) = f(g(x)) so we plug in the equation for g(x) where the x-variable is in f(x).

5(x + 1)³
5[(x + 1)(x + 1)(x + 1)]
5[(x² + 2x + 1)(x + 1)]
5(x³ + 3x² + 3x + 1)

(f o g)(x) = 5x³ + 15x² + 15x + 5
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Answer:

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y = sqrt(x + 6)

x = sqrt(y + 6)


Stx^2 = y + 6

x^2 - 6 = y

red line: f(x) = sqrt(x + 6)

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7 0
3 years ago
Find all values of x that make the equation true.<br> 3/x-4 = x-5/x
Svetllana [295]

Answer:

Step-by-step explanation:

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What did the pyramids show about the old kingdom dynasties of egypt?
igor_vitrenko [27]
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3 0
3 years ago
A particular shoe store stocks two styles of walking shoes. Style A sells for $66.95 and Style B sells for $84.95. At the end of
Gnom [1K]

Answer:

Style A shoes sold : <u>152</u>

Style B shoes sold : <u>88</u>

Step-by-step explanation:

Let :

  • Style A shoes = x
  • Style B shoes = y

Forming equations :

  1. x = 2y - 24
  2. 66.95x + 84.95y = 17,652

Substitute the value of x from 1 in 2.

  • 66.95 (2y - 24) + 84.95y = 17,652
  • 133.90y - 1606.80 + 84.95y = 17,652
  • 218.85y = 19258.80
  • <u>y = 88</u>

<u />

Finding x :

  • x = 2(88) - 24
  • x = 176 - 24
  • <u>x = 152</u>

<u />

Solution :

  • Style A shoes sold : <u>152</u>
  • Style B shoes sold : <u>88</u>
8 0
2 years ago
Jenelle has a piece of wire that is 0.30 feet long. She needs 2.5 times that length to hang a painting. What length of wire does
suter [353]

Answer:

She needs 0,75 ft of wire

Step-by-step explanation:

Hello

She needs (0.30 ft)*(2.5) = 0,75

Best regards

6 0
3 years ago
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