Question

100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answer 1

Answer:
`(f \cdot g)(x) = x^4-11x^2+30.`

Explanation:

We want to find the value of
`f(g(x)).` To do this, we plug in
`g(x)` into the expression for
`f(x).` This gives us:

`f(g(x)) = (x^2-9)^2+7(x^2-9)+12 = x^4-18x^2+81+7x^2-63+12 = \boxed{x^4-11x^2+30}.`