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3 years ago

Find f(x) and g(x) so that the function can be described as y= f(g(x)) y=9/x^2 + 2

Mathematics

1 answer:

fgiga [73]3 years ago

6 0

\left[y \right] = \left[ 0\right][y]=[0] I hope helping with u

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Item 5 Let f(x)=2 (3) x+1 +4 . The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x) . What is th

insens350 [35]

Answer:

$g(x)=4(3)^{x+1}+8$

Step-by-step explanation:

Given:

The original function is given as:

$f(x)=2(3)^{x+1}+4$

The above function is stretched vertically by a factor of 2 to form the graph of $g(x)$ .

According to the rule of function transformations, when the graph of a function is stretched in the vertical direction by a factor of 'C', where, 'C' is a number greater than 1, then the function rule is given as:

$f(x)\to Cf(x)$

Therefore, the function is multiplied by a factor of 'C' to get the equation of the stretched function.

Here, the the value of 'C' is 2. So, the equation of $g(x)$ is given as:

$g(x)=2f(x)\\g(x)=2[2(3)^{x+1}+4]\\g(x)=4(3)^{x+1}+8$

Therefore, the equation of $g(x)$ is $g(x)=4(3)^{x+1}+8$ .

8 0

3 years ago

Which equation is equivalent to 2x + 6y = 12?

mixer [17]

Answer:

Option C, y = -1/3x + 2

Step-by-step explanation:

2x + 6y = 12

<u>Step 1: Solve for y</u>

2x + 6y - 2x = 12 - 2x

6y / 6 = (12 - 2x) / 6

y = 2 - 1/3x

Answer: Option C, y = -1/3x + 2

6 0

3 years ago

Read 2 more answers

1.2x-4y=28 solve for y

Gnesinka [82]

2x -4y= 28
⇒ -4y= 28 -2x
⇒ y= (28 -2x)/ (-4)
⇒ y= 28/(-4) -(2x)/ (-4)
⇒ y= -7 + 1/2x

The final answer is y= -7 + 1/2x~

4 0

2 years ago

Write out the following number is words: 3,508

IRISSAK [1]

Three thousand five hundred eight

5 0

3 years ago

Read 2 more answers

Cal can make 6 bracelets in 2 hours. How many bracelets can he make in 3 hours?

Kobotan [32]

Answer:

9 bracelets

Step-by-step explanation:

Divide 6/2 = 3 bracelets per hour

3 bracelets * 3 hours = 9 bracelets

6 0

2 years ago

Read 2 more answers