Question

If a(x) = 3x + 1 and (x)= x-4, what is the domain of (boa)(x)?

Answer 1

`(b\circ a)(x)=3x-3` ; the domain is all real numbers

Explanation:

`a(x) = 3x+1`

`b(x)=x-4`

`(b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3`

Therefore, the domain of the composite function is all real numbers.