Let f(x)=x^2-2 and g(x)=3x-1. Evaluate and simplify g(f(3))=

Answer 1

First, let's break up g(f(3)).

Start with f(3).

If f(x) = x²-2,

then f(3) = 3² - 2

f(3) = 9-2

f(3) = 7

Then return back to g(f(3))

Now we know what f(3) is, plug it into the equation.

We now have g(7). If g(x) = 3x-1

Then g(7) = 3(7) - 1

Therefore g(f(3)) = 20