when 3 is put into the function machine, 13 comes out when 4 is put in 16 comes out and when -3 is put in -5 comes out. explain in words and write an algebraic equation for what this machine is doing to any number. x that is put into it

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.