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antiseptic1488 [7]
2 years ago
10

Given the functions f(x)= 1/x−4 +3 and g(x)=1/x+1 +6 .

Mathematics
2 answers:
melomori [17]2 years ago
7 0

ANSWER

The graph shifts 5 units left and 3 units up.

EXPLANATION

The given functions are:

f(x) =  \frac{1}{x - 4}  + 3

and

g(x) =  \frac{1}{x + 1}  + 6

We want to transform f(x) so that, it coincide with the g(x).

The required transformation is

f(x+5)+3

Let us see why this works.

f(x+5)+3 = \frac{1}{x + 5- 4}  + 3 + 3

f(x+5)+3 = \frac{1}{x + 1}  + 6 = g(x)

The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.

The third choice is correct.

babunello [35]2 years ago
3 0

<u>Answer with step-by-step explanation:</u>

We are given a function f(x) =  \frac{1}{x - 4}  + 3 which is to be transformed to another function g(x) =  \frac{1}{x + 1}  + 6.

We are to determine whether which statement describes the transformation of the graph of function f onto the graph of function g.

f(x+5)+3 = \frac{1}{x + 5- 4}  + 3 + 3

f(x+5)+3 = \frac{1}{x + 1}  + 6

f(x)=g(x)

Therefore, the correct answer option is: The graph shifts 5 units right and 3 units up.

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8/18 write fraction as decimal. Use bar notation if necessary
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Answer:

0.444444444

Step-by-step explanation:

divide 18 by 8

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3 years ago
What is the minimum possible value for y in the equation y = x^2 + 12x + 5?
Dafna11 [192]

Answer:

Step-by-step explanation:

hello :

y = x² + 12x + 5

y = ( x²+12x+36) -36+5

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4 0
3 years ago
........................
andreyandreev [35.5K]

First expression: (-7)/(-4)

Divide. Note that two negative numbers divided will result in a positive answer

(-7)/(-4) = 7/4 = 1.75

First expression: Greater than 1.

-----------------------------------------------------------------------------------------------------------------

Second expression: -(3/2)

Simplify: 3/2 = 1.5

-(1.5) = -1.5

Second expression: Less than -1

--------------------------------------------------------------------------------------------------------------

Third expression: (-8/5) x (-5/8)

Note that two negatives = one positive answer when multiplying

8/5 x 5/8 = 40/40 = 1

Third expression: Neither

----------------------------------------------------------------------------------------------------------------

Fourth Expression: (-5)/(-3)

Divide: (-5)/(-3) = 5/3 = ~1.67

Fourth Expression: Greater than 1

----------------------------------------------------------------------------------------------------------------

Fifth Expression: (-9)/6

Divide: (-9)/6 = -1.5

Fifth expression: Less than -1

----------------------------------------------------------------------------------------------------------------

hope this helps

5 0
3 years ago
Slope question please help!
AlexFokin [52]
The answer is b, -5/2
3 0
3 years ago
Read 2 more answers
A town has a population of 13,000 and grows at 5% every year what will the population be after 11 years to the nearest whole num
scoray [572]
This question is based on the concept of
amount of interest. Therefore, 22,234 would be
the population after 11 years, to the nearest
whole number.
Given:
A town has a population of 13000 and grows at
5% every year.
We need to determined the population after 11
years, to the nearest whole number.
We know that,
Formula =A = P(1+ r)
Where, p be the population. r is the rate and t is
the time.
P= 13000,
r= 5%
†= 11
Now put all these values in formula.
We get,
5
A = 13000(1 +
A
= 13000(1 + 0.05)11
A
= 1300022, 234.41(0.95)
5 0
2 years ago
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