# Answer on Functional Analysis Question for Brittany

Question #31011

f(x)=2x^2+x and g(x)=x-2 find f(g(x))

Expert's answer

To find composition of functions f(g(x)) we should substitute g(x)=x-2 instead of x into the formula for f(x):

f(g(x))=2(x-2)^2+(x-2)=2(x^2-4x+4)+x-2=2x^2-8x+8+x-2=2x^2-7x+6

To get more info about composition of functions watch our video on this stuff:

f(g(x))=2(x-2)^2+(x-2)=2(x^2-4x+4)+x-2=2x^2-8x+8+x-2=2x^2-7x+6

To get more info about composition of functions watch our video on this stuff:

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