Question

Find the range of the following function:
F(x)=1/1-x^

Answer 1

Answer:

hence, answer is justified.

Step-by-step explanation:

Let 1/1-$x^{2}$ = y

Then cross multiply the expression,

y(1-$x^{2}$ ) = 1

y - $x^{2}$y - 1 = 0

Then take discriminant,

D $\geq$ 0

- 4 ( -y )(y - 1 )  $\geq$ 0

4y^2 - 4y $\geq$ 0 ⇒ 4y ( y - 1 ) $\geq$ 0 ⇒ by sign scheme method,

the range will come out to be f (x) ∈ ( -∞, 0)∪(1,∞)