Evaluating functions from graphs Assume ƒ is an odd function and that both ƒ and g are one-to-one. Use the (incomplete) graph of ƒ and g the graph of to find the following function values. <IMAGE>


ƒ(g(4))

Verified step by step guidance

1. Step 1: Understand the properties of the functions involved. Since \( f \) is an odd function, it satisfies the property \( f(-x) = -f(x) \) for all \( x \). Both \( f \) and \( g \) are one-to-one functions, meaning they have unique outputs for each input and are invertible.
2. Step 2: Determine \( g(4) \) using the graph of \( g \). Locate the point on the graph where the input is 4 and find the corresponding output value, which is \( g(4) \).
3. Step 3: Use the value of \( g(4) \) found in Step 2 as the input for the function \( f \). This means you need to evaluate \( f(g(4)) \) by finding the output of \( f \) when the input is \( g(4) \).
4. Step 4: Use the graph of \( f \) to find \( f(g(4)) \). Locate the point on the graph of \( f \) where the input is \( g(4) \) and determine the corresponding output value.
5. Step 5: Verify the result by considering the properties of odd functions and one-to-one functions. Ensure that the value found for \( f(g(4)) \) is consistent with the properties of \( f \) being odd and both functions being one-to-one.