Question

Find the range of the function. Please write with pen and paper if possible​

Answer 1

Step-by-step explanation:

y=(x+1)(x-1)/x-1

y=x+1

y-x=1

Answer 2

Answer:

Given that,

$y = \dfrac{x^2 - 1}{x - 1}$

We are required to find the Range of the function. Simplifying the RHS of the above equation we get:

$\implies y = \dfrac{(x-1)(x+1)}{(x-1)}\\\\\\\text{Cancelling the common terms we get:}\\\\\\\implies y = (x+1)$

Now, rewriting the LHS as f(x) we get:

⇒ f(x) = x + 1

Since the above function is a simple linear equation, the domain of the given function is from (-∞,∞) or All Real numbers.

Therefore on substituting the values from domain, we get the value of f(x) ranging from (-∞,∞).

Hence the range of the given function f(x) is (-∞,∞).