Answer:
B
Step-by-step explanation:
The problem wants you to PLUG IN x into the correct equation.
1) f(-1) means -1 equals x
f(3) means 3 equals x
For example g(9) means 9 = x and f(3/5) means 3/5 = x and so on.
2) Now that you know x equals two numbers -1 and 3 you have to plug them into a equation.
3) Which equation do you plug it in you may ask? You must plug in -1 into x^2 +3 BECAUSE the condition next to it says you can only plug in numbers to x^2+3 greater than or equal to -1 and less than 2. Therefore, you can plug in -1 to this equation.
-1^2 +3 = <u>4</u>
4) Now you have the number 3. Where do you think we should plug #3 into? Well you can plug it in to the first equation because the condition only allows numbers less then -1. the only option is the last one!!
1, for x >= 2 because 3 is certainly bigger than 2.
This means any number greater than or equal to 2 has to be 1.
SO OUR ANSWER IS 4 AND 1
