Question

Let `f(x)=-5x+3` and `g(x)=6x-2`. How do you find `f * g` and its domain?

Answer 1

`f(g(x))=13-30x`

Explanation:

To find composite functions like `fg(x)`, we must substitute `g(x)` for wherever `x` appears in `f(x)`.

`f(x)=-5x+3`

`g(x)=6x-2`

`fg(x)=-5(6x-2)+3=-30x+10+3=13-30x`