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joja [24]
2 years ago
12

The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equatio

n of function g? Substitute a numerical value for k into the function equation. g(x)=(7)^kx
fill in the given formula
Mathematics
1 answer:
Iteru [2.4K]2 years ago
5 0

Answer:

The answer is "3".

Step-by-step explanation:

If the compression factor of 3 is modified, the k value is 3 For a function f(x) the horizontal extending or compression is provided by g = f (bx)

Here b is constant. Where b is constant.

If b> 0, the function graph is condensed. The fact that perhaps the function is transformed by an encoding factor of 3 is given in the question.

\to f(x)=7^x+1\\\\\to g=f(b(x))

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3)The original rational number was 17/12.

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Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

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