Question

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

Answer 1

(-∞, ∞)

Explanation:

Given,

`f(x)=x^2-1 \ and\ g(x)=2x-3`

Then (fºg)(x) would be ,

`(2x-3)^2-1\\4x^2-12x+9-1\\4x^2-12x+8`

Since this is a polynomial, we know domain of a polynomial is all real number.

Therefore the domain of this (fºg)(x) is (-∞, ∞).