Question

If y = f(x) =x+2/x-1, x, y # 1 then x is equal to​

Answer 1

Answer:

1/y =x−1/x+2

y(x−1)=(x+2)×1

yx−y=x+2,yx−x=2+y

x(y−1)=2+y

or x=

y−1

2+y

Answer 2

Answer:

y = f (x) = [x + 2] / [x – 1]

f (y) = [y + 2] / [y – 1]

yx – y = x + 2

yx – x = 2 + y

x = [2 + y] / [y – 1] = f (y)

f (1) is not defined.

f ‘(x) > 0; f (x) is increasing

f ‘(x) < 0; f (x) is decreasing

f (x) = [x + 2] / [x – 1]

f’ (x) = {[x – 1] – [x + 2]} / (x – 1)2.

= -3 / (x – 1)2

f ‘(x) < 0; f (x) is decreasing

Domain x ∈ R – {1}

Step-by-step explanation:

Hope it's helpful!!!!