Question

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (F g)(x)

Answer 1

I think this attachment will help you

Answer 2

Answer:

domain will be ( -∞, ∞)

Step-by-step explanation:

The given functions are f(x) = x² - 1 and g(x) = 2x - 3

We have to find domain of (fog)(x)

We will find the function (fg)(x) first.

(fog)(x) = f[g(x)]

          = (2x - 3)²

          = 4x² + 9 - 12x - 1

         = 4x² - 12x + 8

        = 4 (x² - 3x + 2)

The given function is defined for all values of x.

Therefore, domain will be ( -∞, ∞)