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f(x)=|x|x-1 and g(x)=(3x)/(2), if x>0 and 2x, if x then what is the area between the curves

f(x)=|x|x-1 and g(x)=(3x)/(2), if x>0 and 2x, if x
then what is the area between the curves

Grade:12

1 Answers

Vikas TU
14149 Points
6 years ago
if x is positive,
then f(x) becomes = > x^2 – 1
now this a parabola upwards with -1 as intercept.
find the intersection points for gx and fx and tgen plot it on the graph.
then integerate them from limits as their points of intersections as:
f(x) – g(x).

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