2 years ago

Determine whether the given value is a solution of the equation.

Mathematics

1 answer:

serious [3.7K]2 years ago

6 0

Answer:

84 is a solution.

Step-by-step explanation:

To find out if 84 is a solution or not, we plug in the value and simplify.

(84)/14 = 6
6 = 6

Therefore, 84 is a solution.

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<u>ANSWER:</u> The correct answer is $R(S(x))=x$ .

<u>Explanation</u>

The composition of a function of $x$ and its inverse will produce the independent variable $x$ .

For instance, let $f(x)=2x$ .

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If we compose these two functions, we will obtain;

$(f\circ f^{-1})(x)=f(f^{-1}(x))$

This means we have to substitute the whole inverse function in to the function itself.

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The other way round will also produce the same result.

Thus;

$(f^{-1}\circ f(x)=f^{-1}(f(x))=(\frac{2x}{2})=x$

This does not only apply to the given example it applies to all functions and their inverse.

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