Problema Solution
Hi Can you please help me to find the inverse of the function if it exists.
f(x)=x^2-3x+1
Answer provided by our tutors
y=x^2-3x+1.
Now making RHS perfect square.
y-1=x^2-2*x*3/2. Add both sides (3/2)^2 =9/4.
y-1+9/4 =x^2-2*x*3/2+(3/2)^2.
y+5/4 =(x-3/2)^2.
(x-3/2)=sqrt (y+5/4).
x=3/2+sqrt (y+5/4), x=3/2-sqrt (y+5/4).
Now for finding out inverse function interchnage x and y.
f^-1(x) =y=3/2+sqrt(y+5/4 0 or 3/2-sqrt(y+5/4).