Question

find the range of $\frac{x+2}{x-3}$ spam answers and accounts will be reported to moderator

Answer 1

Step-by-step explanation:

Given :-

(x+2)/(x-3)

To find :-

Find the range of (x+2)/(x-3) ?

Solution :-

Given that :

(x+2)/(x-3)

Let f(x) = (x+2)/(x-3)

This function is well defined and for all x

and x - 3 ≠0

Domain of f(x) = R-{3}

Let y = (x+2)/(x-3)

=> y(x-3) = x+2

=> xy-3y = x+2

=> xy-x = 3y+2

=> x(y-1) = 3y+2

=> x = (3y+2)/(y-1)

If y = 1 the above does not exist

So, y ≠ 1

So,Range of f(x) = R-{1}

Answer :-

Range of (x+2)/(x-3) = R-{1}