Question

Question
Consider the graphs of f(x) and g(x).













(1 point)
If g(x)=f(x)+k, find the value of k. Then k=
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Answer 1

To determine the value of \( k \) in the equation \( g(x) = f(x) + k \), you would typically compare the graphs of \( f(x) \) and \( g(x) \).

Here’s how you can find \( k \):

1. **Identify a Point on f(x)**: Select a specific point \( (a, f(a)) \) on the graph of \( f(x) \).

2. **Find the Corresponding Point on g(x)**: Look for the corresponding point \( (a, g(a)) \) on the graph of \( g(x) \).

3. **Set Up the Equation**: Since \( g(x) = f(x) + k \), you can express this at the point \( x = a \):
\[
g(a) = f(a) + k
\]

4. **Solve for k**: Rearranging gives:
\[
k = g(a) - f(a)
\]

5. **Substitute Values**: Insert the values of \( g(a) \) and \( f(a) \) that you've identified from the graphs.

Without the specific graphs for \( f(x) \) and \( g(x) \), I can't provide a numerical value for \( k \). If you have specific values or points from the graphs of \( f \) and \( g \), please provide those, and I can help you calculate \( k \).