Question

f(x) = |x| - 1, g(x) = 1/x
What is the domain of (f*g)(x)?
{x|x E real numbers}
{x|x ≠ 0}
{x|x ≠ -1}
{x|x ≠ -1, x ≠ 1}

Answer 1

I'm thinking {x|x ≠ -1, x ≠ 1}, but I want to make sure

Answer 2

What is wrong with (f*g)(1)?

Answer 3

what do you mean?

Answer 4

why wouldn't it be in the domain?

Answer 5

because that's the equation formula your supposed to use to find the domain using the numbers above.

Answer 6

What are you talking about?
(f*g)(1) =[ |(1)| - 1 ] * [ 1 / (1) ] = 0

What is the problem?