The answer is A. Since g(x)=f(x+1), you can tell that g(-2)=f(-2+1). -2+1 is -1, so we have to find f(-1). You do this by plugging (-1) into 3x^2+1. 3(-1)^2+1 ends up being 3(1)+1, which is 4.
Functions are algebra equations that seem to have their very own language. If you struggled with the one above, not to worry! Our “Math 9: The Language of Functions” class will take you from the very basics through the most challenging function questions covered on the SAT and ACT. Check out our calendar to see the next time it is offered.