Question
How do I determine if a certain value is within the range of a function or not if it gives me an equation?
206
likes1031 views
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?
Murray
4.589 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 \( f(x) \).
where \( f(x) \) is the function and \( c \) is the given value.
2. Solve the equation for \( x \).
3. Check if the solution \( x \) is within the 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 \( f(x) \).
Frequently asked questions (FAQs)
What is the dot product of u = (3, -4) and v = (5, 2)?
+
What is the value of the constant function f(x) = 5 when x = 3?
+
Math question: What is the equation of a parabola that opens upwards, has a vertex at (2,4), and passes through the point (5,9)?
+
New questions in Mathematics