Precalculus f(x) = x + 4, f(x)=0, x = 2, x = 10

Find the domain of the composite function f o g.

f(x)= 5 g(x)= x + 5

---------- ,

x + 7

Precalculus f(x) = x + 4, f(x)=0, x = 2, x = 10

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Find the domain of the composite function f o g.

f(x)= 5 g(x)= x + 5

---------- ,

x + 7

Thanks Steven, I keep this in mind in the future.

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## Comments

One of the best ways to approach this problem is a graphical approach: First plot the four lines ( y = x + 4, y=0, x = 2, and x = 10). You find that this encompasses a region that can be described as a combination of a rectangle and a triangle. From here you can use your knowledge of geometry to compute the area of each of these shapes and add them for the result.