Grade 12Analytical Geometry
If f: R → R is defined by f (x) = x^2 – 3x + 2, write f (f (x)).
If f: R → R is defined by f (x) = x^2 – 3x + 2, write f (f (x)).
1 Answer
Harshit Singh
Dear Student
Given,f(x)=x^2–3x+2 Then,
f(f(x))=f(x^2–3x+2)
=(x^2–3x+2)2–3(x^2–3x+2)+2,
=x^4+9x^2+4–6x^3+4x^2–12x–3x^2+9x–6+2
=x^4–6x^3+10x^2–3x
Thus,
f(f(x))=x^4–6x^3+10x^2–3x
Thanks
Given,f(x)=x^2–3x+2 Then,
f(f(x))=f(x^2–3x+2)
=(x^2–3x+2)2–3(x^2–3x+2)+2,
=x^4+9x^2+4–6x^3+4x^2–12x–3x^2+9x–6+2
=x^4–6x^3+10x^2–3x
Thus,
f(f(x))=x^4–6x^3+10x^2–3x
Thanks
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