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The graphs of 
y=j(x) and 
y=k(x) are shown. Which of the following graphs is the graph of 
y=j(k(x)) ?

The graphs of y=j(x) y=j(x) and y=k(x) y=k(x) are shown. Which of the following graphs is the graph of y=j(k(x)) y=j(k(x)) ?

Full solution

Q. The graphs of y=j(x) y=j(x) and y=k(x) y=k(x) are shown. Which of the following graphs is the graph of y=j(k(x)) y=j(k(x)) ?
  1. Understand Composition of Functions: To solve this problem, we need to understand the composition of functions. The function y=j(k(x))y=j(k(x)) means that we first apply the function kk to xx, and then apply the function jj to the result of k(x)k(x). To find the graph of y=j(k(x))y=j(k(x)), we need to look at the graphs of y=j(x)y=j(x) and y=k(x)y=k(x) and determine how the output of k(x)k(x) would be transformed by jj.
  2. Identify Output Values: Since we do not have the actual graphs provided, we cannot proceed with the specific solution. However, we can describe the general process. To find the graph of y=j(k(x))y=j(k(x)), we would first identify the output values of y=k(x)y=k(x) for various xx-values. These output values would then serve as the input values for the function jj, and we would plot the resulting output values of jj to get the graph of y=j(k(x))y=j(k(x)).
  3. Need Specific Information: Without the actual graphs or functions provided, we cannot determine which graph represents y=j(k(x))y=j(k(x)). We would need the specific information about the functions j(x)j(x) and k(x)k(x) or their graphs to proceed with the solution.

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