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Stells [14]
2 years ago
8

the logarmithmic functions, f(x)=logx and g(x), are shown on the graph. what is the equation that represents g(x)? explain.​

Mathematics
1 answer:
mestny [16]2 years ago
6 0

Answer:

g(x) = log(x+1) + 4

Step-by-step explanation:

If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).

The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.

Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.

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Combine like terms to create an equivalent expression: -n + (-4) - (-4n) + 6
Taya2010 [7]

Answer:

3n + 2

Step-by-step explanation:

-n + 4n -4 + 6

3n + 2

6 0
3 years ago
Find k. ..................​
Nonamiya [84]

Answer:

k = -10

Explanation:

f(x) = 4x³ - 3kx² + 44x - 30

The divisor is:

  • (x - 2)

Set divisor to zero:

  • (x - 2) = 0
  • x = 2

Insert this into equation.

⇒ 4(2)³ - 3k(2)² + 44(2) - 30 = 210

⇒ 32 - 12k + 88 - 30 = 210

⇒ -12k + 90 = 210

⇒ -12k = 210 - 90

⇒ -12k = 120

⇒ k = 120/-12

⇒ k = -10

6 0
2 years ago
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CD contains the points C at 4, D at 0, and E at 2.
horsena [70]

Answer:

the length of CD is 4

the length of DE is 2

the ratio of CD to DE is 2:1

Step-by-step explanation:

8 0
3 years ago
Jack divided his fortune of 92,000 into 8 equal portions.He gave 4 portions to his wife , 1 portion to his son and divided the r
AleksAgata [21]

Answer:

Step-by-step explanation:

Given that Jack divided his fortune of 92,000 into 8 equal portions.He gave 4 portions to his wife , 1 portion to his son and divided the remaining portions equally among 5 charities.

The portion son gets = 1/8 of 92000 = 11500 $

Charity on the whole gets = 3 portions = 3/8 *92000 = 34500$

Each charity gets = 34500/5 = 6900$

Thus we find son gets 11500 dollars while each charity gets 6900 dollars.

The difference = 11500-6900\\= 4600

4600 dollars he got more.

5 0
3 years ago
The qestion is the picture ​
lianna [129]

Answer:

-2/9

Step-by-step explanation:

3 0
3 years ago
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