Question

find the range of the function.​

Answer 1

Answer:

[1/2, ♾️)

Step-by-step explanation:

suppose f(x) = y

y = x²-x / x² + 2x

yx² + 2xy = x² - x

yx² - x² + 2xy - x = 0

x² ( y-1) + x(2y - 1) = 0

D≥0

a = y-1, b = 2y - 1 , c = 0

b² - 4ac ≥ 0

here, c = 0 so - 4ac becomes 0

b²≥0

(2y-1)² ≥0

y = 1/2 ≥ 0

in number line now you can use wavy curve method

and then your answer becomes [1/2, ♾️)

( because you need the value for range ≥0)

I hope you understood all the things please make my answer as brain list