Question

For the functions f(x)=

Answer 1

For the functions \[f(x)=\sqrt{x-z}\] and g(x)=3x find the following
(f*g)(x) and its domain
(g*f)(x) and its domain

Answer 2

okay is it asking for (f(g(x))?

Answer 3

its asking for (f*g)(x) and its domain
and (g*f)(x) and its domain

Answer 4

thats multiplication right? im just making sure.

Answer 5

yea

Answer 6

\[\left( \sqrt{x-z} \right)\left( 3x \right)\]
so its really just finding the asymptotes?

Answer 7

I dont know I am posting to get help

Answer 8

well i would guess so because you fing the zeros to find the domain.

Answer 9

Which is it?
1 \(f\circ g\)
2 \(f\times g\)
3 \(f\cdot g\)

Answer 10

1

Answer 11

\[(f\circ g)(x) = f(g(x)) = f(3x) = \sqrt{3x-z}\]
The domain is when \(3x-z \geq 0\)

\[(g\circ f)(x) = g(f(x)) = g(\sqrt{x-z}) = 3\cdot\sqrt{x-z}\]
The domain is when \(x-z \geq 0\)