Question

How do you find `g(a^2)` given `g(a)=3a-3`?

Answer 1

See the entire solution process below:

Explanation:

To find `g(a^2)` given `g(a)` we must substitute `color(red)(a^2)` for every occurrence of `color(red)(a)` in the function:

`g(color(red)(a)) = 3color(red)(a) - 3` becomes:

`g(color(red)(a^2)) = 3color(red)(a^2) - 3`

If required, this can be factored as follows:

`g(color(red)(a^2)) = 3(color(red)(a^2) - 1)`

`g(color(red)(a^2)) = 3(a + 1)(a - 1)`