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Cerrena [4.2K]
2 years ago
9

Let f(x) = 2/x and g(x) = 2/x what is (g o f)(x)?

Mathematics
1 answer:
konstantin123 [22]2 years ago
7 0

Answer:

(g o f)(x) = x

Step-by-step explanation:

Given the functions f(x) = 2/x and g(x) = 2/x

(g o f)(x) = g(f(x))

g(f(x)) = g(2/x)

Replace x with 2/x in g(x)

g(f(x)) = 2/(2/x)

g(f(x)) = 2 * x/2

g(f(x)) = 2x/2

g(f(x)) = x

Hence the composite function g o f)(x) is x

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43. Write a system of equations that is equivalent to each of the systems of equations below
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1.

The <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

brainly.com/question/2972832

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Pls I NED HELP ASAP I ONLY HAVE 10 MINUTES
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Answer:

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Step-by-step explanation:

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