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How do I determine if a certain value is within the range of a function or not if it gives me an equation?

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Answer to a math question How do I determine if a certain value is within the range of a function or not if it gives me an equation?

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Murray

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89 Answers

1. Write down the equation you need to solve.

f(x) = c

where $ f(x) $ is the function and $ c $ is the given value.

2. Solve the equation for $ x $.

x = f^{-1}(c)

3. Check if the solution $ x $ is within the domain of $ f(x) $.

x \in \text{Domain of } f(x)

If $ x $ satisfies the domain condition, then $ c $ is within the range. Otherwise, it is not.

Answer: The value is within the range if $ x $ such that $ f(x) = c $ is within the domain of $ f(x) $.

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How do I determine if a certain value is within the range of a function or not if it gives me an equation?

Answer to a math question How do I determine if a certain value is within the range of a function or not if it gives me an equation?

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