Question

If f(x+1)=X²-3x+2,then show that f(x)=X²-5x+6​

Answer 1

Answer:

f(x+1)=X^2-3x+2

then

f(x-1)+1 = f(x). {x= (x-1)}

f(x)= (x-1)^2 -3(x-1) +2. putx=(x-1)

f(x)= x^2-2x+1-3x+3+2

f(x)= x^2-5x+6

proved