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
Since f(x) = 0, this is just the x axis, so this is the definite integral evaluated between the limits x = 2 and x = 10.
John, this is a precalculus question. There's no discussion or even awareness of integration nor of definite integral s at that level.
Thanks Steven, I keep this in mind in the future.
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.