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Llana [10]
2 years ago
15

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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If R(x) and S(x) are inverse functions, which statement must be true? A) R(S(X))=1 B) R(S(X))=X C) R(X) R(X)= 1/S(x) D) R(x)=-S(
Irina-Kira [14]

<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.

The inverse of this function is f^{-1}(x)=\frac{x}{2}.


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.

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


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.





3 0
3 years ago
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Answer:

125.05

Step-by-step explanation:

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3 0
2 years ago
Pls help me with this!
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Step-by-step explanation:

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Step-by-step explanation:

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