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

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 \( f(x) \).