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A function f is defined on R, the set of real numbers, by: \...

A function f is defined on R, the set of real numbers, by: f:xx+3x2,x2, find f1.

A.

f1:x2x+3x1,x1

B.

f1:xx+3x+2,x2

C.

f1:xx12x+3,x32

D.

f1:xx2x+3,x3

Correct answer is A

f(x)=x+3x2 

f(y)=y+3y2

Let f(y) = x,

x=y+3y2

x(y2)=y+3

xyy=2x+3y(x1)=2x+3

y=2x+3x1