Chapter 2 - 2.6 - Combinations of Functions: Composite Functions - 2.6 Exercises - Page 219: 4

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We have: $f(-2)=2$ $f(0)=0$ $f(2)=2$ $f(4)=4$ $g(-2)=4$ $g(0)=2$ $g(2)=0$ $g(4)=2$ Compute $h(x)=(f+g)(x)$ for the given points: $h(-2)=(f+g)(-2)=f(-2)+g(-2)=2+4=6$ $h(0)=(f+g)(0)=f(0)+g(0)=0+2=2$ $h(2)=(f+g)(2)=f(2)+g(2)=2+0=2$ $h(4)=(f+g)(4)=f(4)+g(4)=4+2=6$ Plot the points corresponding to $h(x)$ and join them using lines: