Qf q6.) find the following function for a.

Hello!

The given equation can be rewritten to read as follows:

(f · g)(x) = f(g(x))

In other words, insert the given value of g(x) in place of the variable found in f(x) as follows:

f(5x² – 3) = 2(5x² – 3) – 2

Now simplify the right side of the equation:

f(5x² – 3) = 10x² – 6 – 2

Combine like terms:

f(5x² – 3) = 10x² – 8

We have now proven that (f · g)(x) is equal to 10x² – 8.

I hope this helps!