Question

Find the domain of (f-g) (x) when f(x) 4x-6 and g(x)=5x-5.

Answer 1

(f - g)(x) = f(x) - g(x)

We have f(x) = 4x - 6 and g(x) = 5x - 5.

(f - g)(x) = (4x - 6) - (5x - 5) = 4x - 6 - 5x - (-5) = -x - 6 + 5 = -x - 1

It's a linear function. The domain of a linear function is the set of all real numbers. Therefore the domain is:

`D=\mathbb{R}`

Answer 2

There are no domain restrictions as (f-g)(x)＝-x-1 and x can be all real numbers.