Question

The range of x for which. |x^2 + x − 2| ≤ x^2 − x is​

Answer 1

R−{−1}

Step-by-step explanation:

f(x)=2−x2+x,x=2

Let f(x)=y,

y=2−x2+x

2y−xy=2+x

2y−2=x(1+y)

x=1+y2(y−1)

Now consider the domain for value x. y cannot take '-1' value as

x is not defined for that value.

Hence, range will be R−{−1}

Hope it is helpful to you