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3 years ago

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PLEASE HELP ASAP THANK YOU

1 answer:

Nadya [2.5K]3 years ago

3 0

<span>Simplifying 2x + 18y = 36 Solving 2x + 18y = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18y' to each side of the equation. 2x + 18y + -18y = 36 + -18y Combine like terms: 18y + -18y = 0 2x + 0 = 36 + -18y 2x = 36 + -18y Divide each side by '2'. x = 18 + -9y Simplifying x = 18 + -9y</span>

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Step-by-step explanation:

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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

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Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

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II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

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$x=\dfrac{1}{a^{-1}(x)}$

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III. $y =x^{2}$

Replacing y with and x with y:

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IV. $y =x^{3}$

Replacing y with and x with y:

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Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

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