To graph the combination of functions h(x) = (f + g)x, add the y-values of f(x) and g(x) at each x, and multiply the sum by x. The domain of h(x) is the intersection of the domains of f(x) and g(x), and the range is all real numbers since adding and multiplying real numbers results in real numbers.

1. Combining Functions by Graphing

2. Ex. Sketch the graph of h(x) = (f + g)x given the
graphs of f(x) and g(x).
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3. a) Determine the equation of h(x) = f(x)g(x)
c) State the domain and range of h(x)

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5. c) State the domain and range of h(x)

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